Standard Form

Front

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

Back

m = -1/2

Front

Find the slope and y-intercept of the line 6x - 2y = 18.

Back

slope = 3, y-intercept = -9

Front

What is the slope of the line y = 8x + 1?

Back

m = 8

Front

Write the equation of the line in slope-intercept form: y = 1/2x + 3.

Back

y = 1/2x + 3

Front

Find the slope given the points (-3, 8) and (10, 4).

Back

slope = -4/13

Front

What is the definition of slope in a linear equation?

Back

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

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation to solve for y in terms of x (y = mx + b).

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

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.