Linear Equations Review

Front

What is the formula for the slope between two points \( (x_1,y_1) \) and \( (x_2,y_2) \)?

Back

The formula for the slope (m) is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What are the x- and y-intercepts of the linear function given by the equation 3x + 4y = -12?

Back

The x-intercept is (-4, 0) and the y-intercept is (0, -3).

Front

How do you find the slope of a line given two points?

Back

Use the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \) where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the two points.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is \( y = mx + b \), where m is the slope and b is the y-intercept.

Front

What does it mean if a line has an undefined slope?

Back

A line with an undefined slope is vertical, meaning it goes straight up and down.

Front

What is the slope of the line that passes through the points (-3,3) and (-9,5)?

Back

The slope is \( m = -\frac{1}{3} \).

Front

What is the slope of a line that rises to the right?

Back

The slope of a line that rises to the right is positive.

Front

What is the slope of a line that falls to the right?

Back

The slope of a line that falls to the right is negative.

Front

How do you determine the y-intercept from the equation of a line?

Back

The y-intercept can be found by setting \( x = 0 \) in the equation and solving for y.