y = -x + 7 is the slope intercept form of (9, -2) and (4, 3)
<h3><u>Solution:</u></h3>Given two points are (9, -2) and (4, 3)
We have to find the slope intercept form
<em><u>The slope intercept form is given as:</u></em>
y = mx + c -------- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
<em><u>Let us first find the slope of line</u></em>
Thus slope of line is m = -1
<em><u>To find the y - intercept:</u></em>
Substitute m = -1 and (x, y ) = (9, -2) in eqn 1
-2 = -1(9) + c
-2 = -9 + c
c = -2 + 9
c = 7
<em><u>Substitute m = -1 and c = 7 in eqn 1</u></em>
y = -1x + 7
y = -x + 7
Thus the required slope intercept form is found
