Write the slope-intercept form of the line that passes through (1, -2) and is parallel to the line y = 4x + 2.

Question

Write the slope-intercept form of the line that passes through (1, -2) and is parallel to the line y = 4x + 2.

Answer 1

We start from general equation of a line.

y = m x + b

If this line is parallel to y = 4x + 2 it means that is has the same slope. slope is the coefficient of x . it this case it is 4.

So our general equation is now.

y = 4 x + b

To find b. we must use the point (1,-2) , if the line passes through this point , this point should work in the equation. it means x = 1 and y = -2 so

y = 4 x + b

-2 = 4 ( 1 ) + b

-2 = 4 + b

-2 -4 = b

b = -6

Thus the equation of the line is

y = 4 x - 6

Answer 2

-2 = 4(1) + b

Can you solve for b and answer?