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=(y_(2)-y_(1))/(x_(2)-x_(1))`

`\text {Here } x_(1)=9 ; y_(1)=-2 ; x_(2)=4 ; y_(2)=3`

`m=(3-(-2))/(4-9)=(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