1.5 Linear 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

How do you identify the slope in the equation y = 4x + 3?

Back

The slope is the coefficient of x, which is 4.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If the slope of a line is 4, what does this indicate about the line's steepness?

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units, making the line steep.

Front

What is the ordered pair for the point where x = 2 in the equation y = 4x + 3?

Back

The ordered pair is (2, 11) because y = 4(2) + 3 = 11.

Front

When graphing a line using slope-intercept form, which point do you plot first?

Back

You plot the y-intercept first.

Front

What is the equation of a vertical line that passes through x = 5?

Back

The equation is x = 5.

Front

What is the equation of a horizontal line that passes through y = 5?

Back

The equation is y = 5.

Front

How do you find a second point on the line after plotting the y-intercept?

Back

Use the slope to determine the rise over run from the y-intercept.

Front

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

Back

The slope is -1.