FLASHCARD 3 - Slope-Intercept Form

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 y-intercept of a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to plot additional points.

Front

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

Back

The slope is 3.

Front

Convert the equation 2x + 3y = 6 into slope-intercept form.

Back

y = -rac{2}{3}x + 2.

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

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.