Answer:
Slope-intercept form is y= 4x - 30
Step-by-step explanation:
Step 1: Substitute the slope from original line into the equation of the line
Here slope , m is 4
y= mx +b
where
m is the slope
b is the y intercept
So Substituting slope we get,
y= 4x +b--------------------------------------------(1)
Step 2 :Substitute the given point (8,2) into the x and y values of equation (1)
y = 4x +b
2 =4(8) + b
Step 3: Solve for y intercept values
2 = 32+ b
2-32 =b
-30 =b
Now the y intercept value b= -30
Step 3: Substitute this value for 'b' in the slope intercept form equation
Substituting the value in eq (1) we get,
y= 4x +(-30)
y= 4x - 30