Forms of Linear Equations

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

Convert the equation y - 3 = 4(x + 2) to slope-intercept form.

Back

y = 4x + 11.

Front

How do you convert the equation 4x - 2y = 10 to slope-intercept form?

Back

y = 2x - 5.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

The line decreases as x increases, indicating a negative relationship.

Front

What is the rate of change in the function y = 3.75 + 1.5(x - 1)?

Back

$1.50 per mile.

Front

What is the y-intercept in the equation y = 2x - 5?

Back

The y-intercept is -5.

Front

How can you identify the slope from the equation 3x - 5y = 1?

Back

Rearranging to slope-intercept form gives y = (3/5)x - 1, so the slope is 3/5.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

Match the graph to the equation y = 3/5x - 1.

Back

The graph will show a line with a slope of 3/5 and a y-intercept of -1.