Write an equation of the line that passes through (1, 5) and is parallel to the line y=−4x+2.

y= -4x +9

Step-by-step explanation:

Slope- intercept form: y= mx +c, where m is the gradient and c is the y- intercept.

y= -4x +2 is written in the slope- intercept form, thus the gradient of the line is -4.

Since parallel lines have the same gradient, the gradient of the unknown line is -4.

Substitute m= -4 into the equation:

y= -4x +c

To find the value of c, substitute a pair of coordinates.

When x= 1, y= 5,

5= -4(1) +c

5= -4 +c

c= 5 +4

c= 9

∴ The equation of the line is y= -4x +9.

3,000,540

step-by-step explanation: