Answer:y = 3x/4 + 17/4
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
From the information given,
y2 = 5
y1 = 2
x2 = 1
x1 = - 3
Slope, m = (5 - 2)/(1 - - 3) = 3/4
To dedetermine the intercept c, we would substitute m = 3/4, x = 1 and y = 5 into y = mx + c, it becomes
5 = 3/4 × 1 + c
5 = 3/4 + c
c = 5 - 3/4 = 17/4
The equation becomes
y = 3x/4 + 17/4
