Answer:
Step-by-step explanation:
The equation of a straight line can be represented with the slope-intercept form, y = mx + c
Where
c = value of the y intercept on the vertical axis.
m = slope = (change in the value of y on the vertical axis) / (change in the value if x on the horizontal axis)
= (y2 - y1) / (x2 - x1) where
y2 = final value of y on the vertical axis.
y1 = initial value of y on the vertical axis.
x2 = final value of x on the horizontal axis.
x1 = initial value of x on the horizontal axis.
From the information given,
the line passes through points (2, –3) and (7, 9)
y2 = 9
y1 = -3
x2 = 7
x1=2
Slope = (9 - - 3) / (7 - 2)
= 12/5
To find intercept, c
9 = 12/5 × 7 + c
9 = 84/5 + c
c = 9 - 84/5 = - 39/5
The equation is
y = 12x / 5 - 39/5
