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

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

Back

y = 2x + 1.

Front

Convert the equation y + 4 = -3(x - 2) to slope-intercept form.

Back

y = -3x + 2.

Front

What is the slope of the line represented by the equation y = -5x + 7?

Back

The slope is -5.

Front

What is the y-intercept of the line represented by the equation y = 4x - 9?

Back

The y-intercept is -9.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.