Question

Write the equation of line in slope-intercept form, which is parallel to y=−2x+5 and passing through the point (1, −4).

y=____?

Answer 1

Explanation:

y=−2x+5

m= -2

As required line is parallel to y=−2x+5, slope will be same for these two lines.

slope of required line = -2

m = - 2 ; (1, -4)

y - y₁ = m (x - x₁)

y - (-4) = -2 * (x - 1)

y + 4 = -2x + 2

2x - 2 + y +4= 0

2x + y + 2 =0

y = -2x -2