Question

What is (9,-2), (4,3) in slope intercept form

Answer 1

y = -x + 7 is the slope intercept form of (9, -2) and (4, 3)

Solution:

Given two points are (9, -2) and (4, 3)

We have to find the slope intercept form

The slope intercept form is given as:

y = mx + c  -------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=9 ; y_{1}=-2 ; x_{2}=4 ; y_{2}=3$

$m=\frac{3-(-2)}{4-9}=\frac{5}{-5}=-1$

Thus slope of line is m = -1

To find the y - intercept:

Substitute m = -1 and (x, y ) = (9, -2) in eqn 1

-2 = -1(9) + c

-2 = -9 + c

c = -2 + 9

c = 7

Substitute m = -1 and c = 7 in eqn 1

y = -1x + 7

y = -x + 7

Thus the required slope intercept form is found