Linear Equations In Two Variables

Question

Write an equation in slope-intercept form that passes through (3,-2) and is perpendicular to y = 4/3x - 1.

Answer 1

Since the slope of the original line is 4/3, the slope of the parallel line is the negative reciprocal, -3/4 = m.

Next, use the equation: y-y1=m(x-x1) Plug in the point (3,-2) and m into this equation.

y-(-2)=-3/4(x-3) Simplify by using the distributive property and change the subtraction to addition.

y+2=-3/4x+9/4 Subtract 2 from both sides

y=-3/4x+1/4