Answer: y = -2x + 9
Explanation:
Points through which the line passes through are: (-2,13) and (4,1)
The slop intercept form will be in terms of:
y = mx + c
Find m first which is the slope:
= (Y₂ - Y₁) / (X₂ - X₁)
= (1 - 13) / (4 - (-2))
= -12 / 6
= -2
Using a point on the line and the slope, calculate c which is the y intercept:
Using point (-2,13) :
y = mx + c
13 = -2 * -2 + c
13 = 4 + c
c = 13 - 4
c = 9
Slope intercept form of line is therefore:
y = -2x + 9