Question

Write the equation of a line that is parallel to the line y=4x+2 and passes through the point (4,1)

Answer 1

y = 4x-13

Explanation:

The standard equation of the line is y = mx+c

m is the slope

c is the intercept

Given the equation y = 4x+2

The slope m = 4

Substitute m = 4 and the given point into the formula y = mx+c

1 = 4(4)+c

1 = 14+c

c = -13

Get the equation

Recall that y = mx+c

y = 4x + (-13)

y = 4x-13

Hence the required equation is y = 4x-13