Question

Find the equation of the line that passes through (2,-1) and is parallel to y = 4 − 2 x . Leave your answer in the form y = m x + c

Answer 1

y = -2x + 3

Explanation:

The slope intercept equation of a straight line is
`y=mx+b`,

where m is the slope and b is the y-intercept.

Therefore, the slope of
`y=4-2x` is -2.

If a line is parallel to another line, they have the same slope.

Therefore, the slope (m) of the new line is also -2.

Using the point-slope form of a linear equation, where m = -2 and

`(x_1,y_1)` is a point on the line (2, -1):

`\implies y-y_1=m(x-x_1)`

`\implies y+1=-2(x-2)`

`\implies y=-2x+3`