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 an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept of a line represent?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

Determine the slope and y-intercept from the equation 4x + y = -10.

Back

Slope: -4, Y-intercept: (0, -10).

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = (5/3)x - 4.

Front

Find the slope of the equation 3x - 6y = 12 after isolating y.

Back

Slope: 1/2.

Front

What is the slope-intercept form of the equation 4x - 8y = 72?

Back

y = (1/2)x - 9.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.