Graphing Linear Equations

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

If m=3 and b=6, what is the equation in slope-intercept form?

Back

y = 3x + 6

Front

What does the slope (m) represent in a linear equation?

Back

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

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

Back

The y-intercept is 5.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 and solving for x.

Front

Find the x-intercept of the equation 3x + 8y = 24.

Back

The x-intercept is (8, 0).

Front

What does the letter 'b' represent in the equation y = mx + b?

Back

The letter 'b' represents the y-intercept of the linear equation.

Front

How can you determine the slope from the equation y = 4x + 3?

Back

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

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates.