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

Answer 1

Parallel lines have the same slope...so the line that you want the equation for will have the same slope as the line whose equation is y = -5x + 4, slope, m = -5

Remember y = mx + b for straight lines

Use the POINT-SLOPE formula to get your equation because you have an ordered pair (1, 2) on the line

POINT SLOPE formula is y - y₁ = m (x - x₁), plug in (1, 2) for the x₁ and y₁ terms

y - 2 = -5(x - 1)

y - 2 = -5x + 5

y = -5x + 5 + 2 (bring the 2 over from the LHS to isolate the y term. )

so y = -5x + 7 Final Answer

Answer 2

The slope of the parallel line is the same as slope of the given line.

Slope=-5 y=-5x+4

Formula:

y-y_1=m(x-x1)

_y-2=-5(x-1)

y-2=-5x+5

y=-5x+7. which is the equation of the line