Slope Intercept Form & Graphs

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

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

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 (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Find the slope-intercept equation for the line with slope 4 and y-intercept 6.

Back

y = 4x + 6

Front

Find the slope-intercept equation for the line with slope -2 and y-intercept 3.

Back

y = -2x + 3

Front

Which graph represents the equation y = -x + 2?

Back

Graph A represents the equation y = -x + 2.

Front

Find the slope-intercept equation for the line with slope -1/3 and y-intercept 5.

Back

y = -1/3x + 5

Front

Write the equation of the line with slope -3 and y-intercept -3.

Back

y = -3x - 3

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert, solve for y in terms of x to get it into the form y = mx + b.

Front

What is the slope of the line represented by the equation y = 1/4x - 6?

Back

The slope is 1/4.