Back to Prove slope criteria for lines — Problem 6 · Task Set 34

Exercises: Prove Slope Criteria for Parallel and Perpendicular Lines

Work through each section in order. Write every line equation in slope-intercept form unless a problem says otherwise, and show the slope you used before writing the equation.

Grade 10·23 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-gpe-b-5

Work through problems with immediate feedback

Fluency Practice

Line $j$ passes through $(-6, 2)$ and $(2, -4)$ . The slope of line $j$ is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . A line perpendicular to $j$ has slope ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . The equation of the perpendicular line through $(3, -1)$ , in slope-intercept form, is $y = $ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $x - 5$ .

slope of line j:

perpendicular slope:

coefficient of x: