Graph Linear Equations in Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula: y = mx + b, where m is the slope and b is the y-intercept.

Front

In the equation y = 2 + 3x, what does the number 2 represent?

Back

The number 2 represents the y-intercept of the equation.

Front

How do you identify the slope in the equation y = mx + b?

Back

The slope is represented by the coefficient m in the equation y = mx + b.

Front

What does the y-intercept indicate in a graph of a linear equation?

Back

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

Front

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

Back

The slope-intercept form is y = 1/3x - 2.

Front

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

Back

The slope of the line is 1/3.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the y-intercept of the equation y = -5x + 4?

Back

The y-intercept is 4.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.