11.19.24 8 Standard Form to Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula 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 by isolating it on one side of the equation.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

Given the equation 4x + y = -10, what is the slope?

Back

The slope of the equation 4x + y = -10 is -4.

Front

What is the y-intercept of the equation 4x + y = -10?

Back

The y-intercept of the equation 4x + y = -10 is (0, -10).

Front

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

Back

The equation -3y + 5x = 12 in slope-intercept form is y = -4 + (5/3)x.

Front

What is the slope of the line represented by the equation 5x - 3y = -9?

Back

The slope of the line represented by the equation 5x - 3y = -9 is 5/3.

Front

How do you find the y-intercept from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.