Converting Standard Form to Slope-Intercept Form

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 convert the equation 6y - 2x = 12 to slope-intercept form?

Back

To convert, isolate y: 6y = 2x + 12, then y = (1/3)x + 2.

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

What is the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.

Front

What is a proportional relationship in a graph?

Back

A proportional relationship is a straight line that passes through the origin.

Front

How do you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

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

Back

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

Front

What is the first step in graphing a line using slope-intercept form?

Back

Graph the y-intercept (b) on the y-axis.

Front

What is the second step in graphing a line using slope-intercept form?

Back

Use the slope (m) to find another point from the y-intercept.