 # Simplify Y-Intercept Learning with Plainmath's Expert Tips and Real-World Examples

Recent questions in Y-Intercept hangobw6h 2023-03-23

## The equation has a positive slope and a negativey-intercept.1) y=−2x−32) y=2−3x3) y=2+3x4) y=−2+3x Alexia Avila 2022-11-13

## The function $f$ is one-to-one. Prove that the sum of all the $x$- and $y$-intercepts of the graph of $f\left(x\right)$ is equal to the sum of all the $x$- and $y$-intercepts of the graph of ${f}^{-1}\left(x\right)$. Noe Cowan 2022-11-10

## How to find the equation for a tangent line with a given y intercept.An equation for a circle, ${y}^{2}+{x}^{2}={3959}^{2}$ and I have the y intercept for a tangent line $y=mx+3965$. Cale Terrell 2022-10-28

## Find the points at which the line $ax+by+c=0$ crosses the $x$ and $y$-axes. Assume that $a\ne 0$ and $b\ne 0$.solve the equation $ax+by+c=0$ for $y$:$ax+by+c=0$$ax+by=-c$$by=-ax-c$$y=\frac{-ax-c}{b}$$\because x=0$ at $y$-intercept,$\therefore y=\frac{-a\left(0\right)}{b}-\frac{c}{b}$$y=-\frac{c}{b}$The point at which the line crosses the y-axis is $\left(0,-\frac{c}{b}\right)$Now we solve the equation $ax+by+c=0$ for $x$:$ax+by+c=0$$ax+by=-c$$ax=-by-c$$x=\frac{-by-c}{a}$$\because y=0$ at $x$-intercept$\therefore x=\frac{-b\left(0\right)}{a}-\frac{c}{a}$$x=-\frac{c}{a}$The point at which the line crosses the $x$-axis is $\left(-\frac{c}{a},0\right)$ Eliza Gregory 2022-10-11

## Explain how to find the equation of a line given the point (5,3) and it has a y-intercept of 13. Ariel Wilkinson 2022-10-05

## What is the formal or general term for the y-intercept? Is there a general term for the value at which a function intercepts the vertical axis, in the Cartesian plane? Tiana Hill 2022-09-27

## Determine the values of $a$ and $b$ for which the line $\left(a+2b-3\right)x+\left(2a-b+1\right)y+6a+9=0$ is parallel to $x$ axis and $y$-intercept is $-3$. Also write the equation of the line.here is what i have tried.$eq:\left(a+2b-3\right)x+\left(2a-b+1\right)y+6a+9=0$ Let the point be $\left(0,-3\right)$Since the line is parallel to $x$ axis therefore slope of line $=$ slope of $x$-axis$-\left(a+2b-3\right)/\left(2a-b+1\right)$$2a-b+1=0$Now what? Kelton Molina 2022-09-24

## Let $L$ be the tangent line to $y=\mathrm{tan}\left(2x\right)$ at $\left(\frac{\pi }{2},0\right)$. What is the $y$-intercept of $L$?(a) $\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}0\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}$(b) $\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\frac{\pi }{2}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}$ (c) $\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}-\pi \phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}$ (d) $\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}1\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}$ (e) $\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}2\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}$ Lyla Carson 2022-09-24

## The given areTwo $x$-intercepts$y$-intercept math $\left(0,-4\right)$Maximum at $\left(2,4\right)$How to create quadratic equation given $y$ intercept, and maximum and $B=8$? Khalfanebw 2022-09-19

## A quartic polynomial has $2$ distinct real roots at $x=1$ and $x=-3/5$. If the function has a $y$-intercept at $-1$ and has $f\left(2\right)=2$ and $f\left(3\right)=3$. How to determine the remaining roots when two distinct real roots and y-intercept are given. foyerir 2022-09-06

## $f\left(x\right)=\frac{4x-1}{2x+1}$ How do u find the x and y intercept? for wich values of x is f(x) less than or equal to 0 ivybeibeidn 2022-09-06

## Having trouble finding the solution to ${e}^{x}-3{e}^{-x}-4x=0$. The answer is roughly $2.2$ but am not sure how to get there? roletatx 2022-08-31

## Solve. m=3, b=1 tamkieuqf 2022-08-19

## Let $p$ be a positive constant and consider the parabola ${x}^{2}=4py$ with vertex at the origin and focus at the point ($0$, $p$). (a) Show that the tangent line at (${x}_{0}$, ${y}_{0}$) has y-intercept ${y}_{0}$.What I try:1. the slope formula (i) 𝑦$y-{y}_{0}=m\left(x-{x}_{0}\right)$2. $m=$ $\frac{dy}{dx}\frac{{x}^{2}}{4p}=\frac{x}{2p}$Evaluated m when $x={x}_{0}$$m=$ $\frac{{x}_{0}}{2p}$Replaced $m$ in (i) $y=\frac{{x}_{0}}{2p}\left(x-{x}_{0}\right)+{y}_{0}$In order to get the y-intercept, I evaluated $x=0$$y=\frac{{x}_{0}^{2}}{2p}+{y}_{0}$What is missing? kalkulusk2 2022-08-19

## Why cannot a quadratic or any polynomial equation be in format of $x=a{y}^{2}+by+c$and to find roots we set $x=0$.Can roots be $y$-intercepts for the quadratic function? schlichs6d 2022-08-16

## Is the set of all straight lines in the plane whose slope and y-intercept are integers countable? valtricotinevh 2022-07-23

## Let say in x,y dimension if a line cross over the x-axis instead of y (as shown in image above, unlike y=mx+c ) then how equation will change or will the equation has any impact apart from the x-intercept in this case? Is this a valid case? suchonosdy 2022-07-23

## Determine the $y$-intercept(s) of the level curve, where $f\left(x,y\right)=2{e}^{2\sqrt{{x}^{2}+{y}^{2}}}$ and $z=4$.I started but setting $4=f\left(x,y\right)$ then I solved for $y$ and got $\sqrt{\frac{2ln\left(2\right)}{4}-{x}^{2}}$ and I tried solving for $y=0$. Is there a similar way to do this? makaunawal5 2022-07-19
## Is there an actual $f\left(\phantom{\rule{.1em}{0ex}}{p}_{1},\phantom{\rule{thinmathspace}{0ex}}{p}_{2}\right)=\stackrel{\text{some formula}}{\stackrel{⏞}{\phantom{Loremipsum}}}$ to get the y intercept of a line from 2 points? makaunawal5 2022-07-17