Graph Slope Intercept and Point-Slope Form

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 of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

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 is point-slope form of a linear equation?

Back

Point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the slope m = -3 and point (2, 5), write the equation in point-slope form.

Back

y - 5 = -3(x - 2).

Front

Convert the equation y - 1 = 4(x + 2) to slope-intercept form.

Back

y = 4x + 9.

Front

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

Back

The y-intercept is 3.

Front

If a line has a slope of 1, what does this indicate about the line?

Back

It indicates that for every unit increase in x, y increases by the same amount.