Standard Form to Slope Intercept Form

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the equation 2x + y = 41 to slope-intercept form?

Back

To convert to slope-intercept form, isolate y: y = -2x + 41.

Front

What does 'm' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How do you identify the slope from the equation y = 1/2x - 9?

Back

The slope is the coefficient of x, which is 1/2.

Front

What is the first step to solve the equation -2x - 4y = -12 for y?

Back

The first step is to add 2x to both sides: -4y = 2x - 12.

Front

Convert the equation 4x - 8y = 72 to slope-intercept form.

Back

Isolate y: y = 1/2x - 9.

Front

What is the slope of the line represented by the equation y = -2x + 41?

Back

The slope is -2.

Front

What is the y-intercept of the equation y = 1/2x - 9?

Back

The y-intercept is -9.