For the equation (-1,2), $y=\frac{1}{2}x-3$ , write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equation.

Annette Arroyo
2021-05-14
Answered

For the equation (-1,2), $y=\frac{1}{2}x-3$ , write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equation.

You can still ask an expert for help

pattererX

Answered 2021-05-15
Author has **95** answers

Step 1

Given point (-1,2) and the line$y=\frac{1}{2}x-3$

Step 2

We know that the slope of two parallel lines are equal.

The slope of the line$y=\frac{1}{2}x-3ism=\frac{1}{2}$

So, the slope of required line is also$m=\frac{1}{2}$ . The equation of line is

$y-{y}_{1}=m(x-{x}_{1})$

$y-2=\frac{1}{2}(x+1)$

$y-2=\frac{1}{2}x+\frac{1}{2}$

$y=\frac{1}{2}x+\frac{5}{2}$

Given point (-1,2) and the line

Step 2

We know that the slope of two parallel lines are equal.

The slope of the line

So, the slope of required line is also

asked 2020-10-18

Find a least squares solution of Ax=b by constructing and solving the normal equations.

$A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]$

$\stackrel{\u2015}{x}=$ ?

asked 2021-09-22

Solve the equation.

${(x-5)}^{\frac{3}{2}}=8$

asked 2021-09-21

Find the general solution of the differential equation or state that the differential equation is not separable.

${y}^{\prime}={x}^{6}y$

asked 2021-11-20

Solve the equation.

$\frac{9}{2x+6}-\frac{7}{5x+15}=\frac{2}{3}$

asked 2022-05-05

Solve the equation 6x=5.

asked 2021-11-22

Solve the equation.

${x}^{2}-14x=0$

asked 2021-04-19

Solve the equation:

$2}^{7-3x}=\frac{1}{4$