4.7 Point Slope 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 from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

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

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

Given the equation y = -5/2x + 1, what is the slope?

Back

The slope is -5/2.

Front

Given the equation y = -8x - 47, what is the y-intercept?

Back

The y-intercept is -47.

Front

Convert the equation y - 3 = 2(x + 1) to slope-intercept form.

Back

y = 2x + 5.

Front

What is the slope of the line represented by the equation y = 6x - 43?

Back

The slope is 6.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the y-intercept of the equation y = -3x + 22?

Back

The y-intercept is 22.