Slope Intercept and Point Slope Review

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 find the slope from a point-slope equation?

Back

In the point-slope form, the slope is represented by 'm' in the equation y - y1 = m(x - x1).

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

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

Back

y = 2x - 5.

Front

What is the point-slope form of a line with slope 3 passing through the point (2, 5)?

Back

y - 5 = 3(x - 2).

Front

How do you identify the slope from the equation y = -rac{1}{2}x + 4?

Back

The slope is -rac{1}{2}.

Front

What is the y-intercept in the equation y = 4x - 7?

Back

The y-intercept is -7.

Front

Write the equation in point-slope form for a line with slope -2 passing through (3, 4).

Back

y - 4 = -2(x - 3).

Front

What is the slope of the line represented by the equation 2y - 6x = 12?

Back

The slope is 3.

Front

How do you convert the equation y - 1 = rac{1}{3}(x + 2) to slope-intercept form?

Back

y = rac{1}{3}x + rac{5}{3}.