Spiral Week 2.8

Front

What is the slope of the line represented by the equation 5x + 10y = 30?

Back

m = -1/2

Front

Find the slope of the line that passes through the points (19, -2) and (-11, 10).

Back

m = -2/5

Front

Find the slope of the line represented by the equation y = -rac{5}{4}x + b.

Back

m = -5/4

Front

What is the slope and y-intercept of the line represented by the equation 3x - y = 9?

Back

Slope = 3, y-intercept = -9

Front

Given the points (4, y) and (0, 5) with a slope of m = \frac{3}{4}, find the missing value of y.

Back

y = 8

Front

Define slope in the context of a linear equation.

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

Back

m = \frac{y2 - y1}{x2 - x1}.

Front

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Rearrange to y = mx + b, where m is the slope.

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).

Front

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

Back

A slope of 0 indicates a horizontal line.