Question

What do the following two equations represent? y=-3x+1 y+5= -3(x-2) a) the same line b) distance parallel lines c) perpendicular lines d) intersecting, but not perpendicular lines

Answer 1

a) the same line

Explanation:

The first equation is the "slope-intercept form" of the equation of a line with slope -3 and y-intercept +1. The second equation is the "point-slope form" of the equation of the same line. The "point" in this form is (x, y) = (2, -5), which is a point that satisfies the first equation:

y = -3x +1

-5 = -3(2) +1 . . . . true

The two equations represent the same line.