Answer:
y = 3/4x + 2
Step-by-step explanation:
We are asked to find the equation of a line with two points
Step1: find the slope
m = (y_2 - y_1)/(x_2 - x_1)
(-8 , -4) ( 4 , 5)
x_1 = -8
y_1 = -4
x_2 = 4
y_2 = 5
Insert the values into
m =( y_2 - y_1)/(x_2 - x_1)
m = ( 5 - (-4))/ ( 4 - (-8)
m = ( 5 + 4)/(4 + 8)
m = 9/12
It can be simplified by dividing by 3
= (9/3)/(12/3)
= 3/4
m = 3/4
Step 2: substitute m into the equation
y = mx + c
y = 3/4x + c
Step3: substitute either of the points
Let's pick ( 4 , 5)
x = 4
y = 5
5 = 3/4(4) + c
5 = (3 * 4)/4 + c
5 = 12/4+ c
5 = 3 + c
5 - 3 = c
c = 5 - 3
c = 2
Step 4: sub c into the equation
y = 3/4x + 2
Therefore, the equation of the line is
y = 3/4x + 2
