Point-Slope and Standard Form Flashcard Review

Front

What is the slope and y-intercept of the equation: y = -3x + 2?

Back

Slope = -3, y-intercept = 2

Front

Convert the equation -2x + 6y = 12 to slope-intercept form.

Back

y = \frac{1}{3}x + 2

Front

Write the equation in point-slope form of the line that passes through the point (4, -7) with slope m = -1/4.

Back

y + 7 = -\frac{1}{4}(x - 4)

Front

What is the slope of a vertical line?

Back

Undefined

Front

Does the point (-8, 2) lie on the line with the equation y - 2 = 4(x + 8)?

Back

Yes, it does.

Front

What is the general form of a linear equation?

Back

Ax + By + C = 0, where A, B, and C are constants.

Front

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

Back

Slope (m) = \frac{y2 - y1}{x2 - x1}

Front

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

Back

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

Front

Convert the point-slope form y - y1 = m(x - x1) to slope-intercept form.

Back

y = mx - mx1 + y1

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).