Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (-1,5) and (3,-3)
y2 = - 3
y1 = 5
x2 = 3
x1 = - 1
Slope,m = (- 3 - 5)/(3 - - 1) = - 8/4 = -2
To determine the intercept, we would substitute x = - 1, y = 5 and m= - 2 into y = mx + c. It becomes
5 = - 2 × - 1 + c = 2 + c
c = 5 - 2 = 3
The equation becomes
y = - 2x + 3
