Question

What is the equation of the line that is parallel to the line y=2x+3 and passes through the point (-2,1)

Answer 1

y= 2x+5

Explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Hence m=2.

Subst. m=2 into the equation:

y=2x +c

Now substitute a coordinate.

When x= -2, y=1,

1= 2(-2) +c

1= -4 +c

c= 1 +4

c=5

Thus, the equation of the line is y= 2x +5.