write & graph linear equations

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What is a y-intercept?

Back

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

Front

How do you find the y-intercept from an equation?

Back

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

Front

What is the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0).

Front

How do you find the x-intercept from an equation?

Back

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

Front

What is the meaning of 'm' in the slope-intercept form?

Back

'm' represents the slope of the line.

Front

What is the meaning of 'b' in the slope-intercept form?

Back

'b' represents the y-intercept of the line.

Front

Convert the equation 2x + 2y = 6 to slope-intercept form.

Back

y = -x + 3.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.