5.1-5.4 review

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the slope-intercept form of the line with slope m = 2 and y-intercept b = -2.

Back

y = 2x - 2

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Find the slope and y-intercept of the equation 2x - 3y = 9.

Back

Slope (m) = 2/3, y-intercept (b) = 3.

Front

What does the slope of a line represent?

Back

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

Front

Find the slope and y-intercept of the equation y = -2x + 6.

Back

Slope (m) = -2, y-intercept (b) = 6.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

Determine the value of y so that the line through the points (5, 2) and (2, y) has a slope of 0.

Back

y = 2.

Front

What is the formula to find the y-intercept from the equation of a line?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.