Linear Equations Test Review (2024)

Front

What is the slope of a line parallel to the line whose equation is: -2x + y = -7?

Back

The slope is 2.

Front

Write the equation of the line containing (4,2) and (3,5) in slope-intercept form.

Back

y = -3x + 14

Front

Are Lines FG, F(–1, 2), G(3, –4), and line KJ, K(–2, –3), and J(4, 1), Parallel, Perpendicular, or Neither?

Back

They are perpendicular.

Front

Find the x and y intercepts of the equation 4x - 5y = 40.

Back

x intercept is 10, y intercept is -8.

Front

What are the coordinates of the y-intercept of 8x + 4y = -48?

Back

(0, -12)

Front

Define slope in the context of linear equations.

Back

Slope is the measure of the steepness of a line, calculated as the change in y over the change in x (rise/run).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.