Answer:
y= - 13x/9 + 14 2/3
Explanation:
There are two steps to these types of questions
1. Find the slope
2. Find the y intercept
For the slope, use this formula
m = y2-y1
______
X2-x1
= - 7 - 6
______
6- (-3)
= - 13
___
9
Ok first step done, now the y intercept,
y = mx + c ( slope-intercept form)
Since now u got m, put it in
y= (-13/9)x + c
Now they gave u two different coordinates,
(-3, 6) & (6,- 7), but these two coordinates are on the same line, therefore u can choose any one of them to be your y and x
I will choose (-3, 6)
Therefore
6 = (-13/9) (6) + c
6 = - 8 2/3 + c
C = 6 + 8 2/3
C = 14 2/3
Therefore your slope intercept for will be
y= - 13x/9 + 14 2/3