Slope-intercept

Front

What is the slope of the line with the equation \(y = -\frac{3}{2}x + 4\)?

Back

The slope is \(-\frac{3}{2}\).

Front

Find the slope of the line that passes through points (1, -19) and (-2, -7).

Back

The slope is -4.

Front

Find the slope of the line that passes through the given pair of points: (-2, -3), (4, 3).

Back

The slope is 1.

Front

Write the equation of the line with slope -\frac{3}{2} and y-intercept 4.

Back

The equation is \(y = -\frac{3}{2}x + 4\).

Front

What does 'b' represent in \(y = mx + b\)?

Back

The 'b' represents the y-intercept.

Front

Define slope in the context of a linear equation.

Back

Slope is the ratio of the change in y to the change in x (rise over run).

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

What is the y-intercept of the line represented by the equation \(y = 2x + 5\)?

Back

The y-intercept is 5.