Y-Intercept Q&A: Expert Help with Explanation

The equation has a positive slope and a negativey-intercept.
1) y=−2x−3
2) y=2−3x
3) y=2+3x
4) 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 $f (x)$ is equal to the sum of all the $x$ - and $y$ -intercepts of the graph of $f^{- 1} (x)$ .

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 $y = m x + 3965$ .

Cale Terrell 2022-10-28

Find the points at which the line $a x + b y + c = 0$ crosses the $x$ and $y$ -axes. Assume that $a \neq 0$ and $b \neq 0$ .
solve the equation $a x + b y + c = 0$ for $y$ :
$a x + b y + c = 0$
$a x + b y = - c$
$b y = - a x - c$
$y = \frac{- a x - c}{b}$
$∵ x = 0$ at $y$ -intercept,
$∴ y = \frac{- a (0)}{b} - \frac{c}{b}$
$y = - \frac{c}{b}$
The point at which the line crosses the y-axis is $(0, - \frac{c}{b})$
Now we solve the equation $a x + b y + c = 0$ for $x$ :
$a x + b y + c = 0$
$a x + b y = - c$
$a x = - b y - c$
$x = \frac{- b y - c}{a}$
$∵ y = 0$ at $x$ -intercept
$∴ x = \frac{- b (0)}{a} - \frac{c}{a}$
$x = - \frac{c}{a}$
The point at which the line crosses the $x$ -axis is $(- \frac{c}{a}, 0)$

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 $(a + 2 b - 3) x + (2 a - b + 1) y + 6 a + 9 = 0$ is parallel to $x$ axis and $y$ -intercept is $- 3$ . Also write the equation of the line.
here is what i have tried.
$e q : (a + 2 b - 3) x + (2 a - b + 1) y + 6 a + 9 = 0$ Let the point be $(0, - 3)$
Since the line is parallel to $x$ axis therefore
slope of line $=$ slope of $x$ -axis
$- (a + 2 b - 3) / (2 a - b + 1)$
$2 a - b + 1 = 0$
Now what?

Kelton Molina 2022-09-24

Let $L$ be the tangent line to $y = \tan (2 x)$ at $(\frac{π}{2}, 0)$ . What is the $y$ -intercept of $L$ ?
(a) $0$
(b) $\frac{π}{2}$
(c) $- π$
(d) $1$
(e) $2$

Lyla Carson 2022-09-24

The given are
Two $x$ -intercepts
$y$ -intercept math $(0, - 4)$
Maximum at $(2, 4)$
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 $f (2) = 2$ and $f (3) = 3$ . How to determine the remaining roots when two distinct real roots and y-intercept are given.

foyerir 2022-09-06

$f (x) = \frac{4 x - 1}{2 x + 1}$ 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 $e^{x} - 3 e^{- x} - 4 x = 0$ . 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 $x^{2} = 4 p y$ 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 $y - y_{0} = m (x - x_{0})$
2. $m =$ $\frac{d y}{d x} \frac{x^{2}}{4 p} = \frac{x}{2 p}$
Evaluated m when $x = x_{0}$ $m =$ $\frac{x_{0}}{2 p}$
Replaced $m$ in (i) $y = \frac{x_{0}}{2 p} (x - x_{0}) + y_{0}$
In order to get the y-intercept, I evaluated $x = 0$
$y = \frac{x_{0}^{2}}{2 p} + y_{0}$
What is missing?

kalkulusk2 2022-08-19

Why cannot a quadratic or any polynomial equation be in format of $x = a y^{2} + b y + c$
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 $f (x, y) = 2 e^{2 \sqrt{x^{2} + y^{2}}}$ and $z = 4$ .
I started but setting $4 = f (x, y)$ then I solved for $y$ and got $\sqrt{\frac{2 l n (2)}{4} - x^{2}}$ and I tried solving for $y = 0$ . Is there a similar way to do this?

makaunawal5 2022-07-19

Is there an actual $f (p_{1}, p_{2}) = \overset{some formula}{\overset{⏞}{}}$ to get the y intercept of a line from 2 points?

makaunawal5 2022-07-17

How do I find the y intercept for $P (x) = (x - 1)^{2} (x - 3)$ ?

Finding y-intercept is much easier when you have a list of questions and answers that will help you understand the point where a line, curve, or surface would intersect the y-axis. If you need assistance with the graphical aspect of things, you should explore various y-intercept questions and answers that we have. Some of them are related to high school studies where graphs and finding of coordinates must be achieved, while others will relate to engineering tasks that you might find useful when you need to combine calculations with the graphical part of your lab reports or scientific statistical data.

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