Slope Intercept Form Review

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 (m) represent in a linear equation?

Back

The slope 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 is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

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

Front

If a line has a slope of -4/5, what does this indicate about its direction?

Back

A slope of -4/5 indicates that the line falls as it moves from left to right.

Front

Write the slope-intercept equation for a line with a slope of 2 and a y-intercept of -3.

Back

The equation is y = 2x - 3.

Front

What is the slope of the line represented by the equation y = -1/3x + 4?

Back

The slope is -1/3.

Front

If the slope of a line is 0, what does this tell you about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If the slope of a line is undefined, what does this tell you about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How can you determine the y-intercept from the equation y = 5x + 7?

Back

The y-intercept is 7, which is the value of y when x = 0.