Question

Write an equation in slope intercept form for the line that passes through (1,-1) and is parallel to the line described by y=2x-4

PLEASE HELP:(((((

Answer 1

If 2 lines are parallel, their slopes are the same, so all we need to do is plug in the given point and slope in the equation y = mx + b and solve for b.

`-1 = 2(1) + b\\\\-1 = 2 + b\\\\-3 = b`

The equation of a line in slope-intercept form that goes through (1, -1) and is parallel to the line y = 2x - 4 is
`y = 2x - 3`.