Writing Equations in Slope-Intercept Form Practice

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

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

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

Given the slope m = 2 and y-intercept b = -1, write the equation in slope-intercept form.

Back

y = 2x - 1

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that as x increases, y decreases, meaning the line goes down from left to right.

Front

How do you identify the slope from the equation y = 4x + 5?

Back

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

Front

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

Back

The slope is -3.

Front

Convert the equation 2y = 4x + 8 into slope-intercept form.

Back

y = 2x + 4

Front

What is the slope of the line represented by the equation y = 0.5x - 1?

Back

The slope is 0.5.

Front

If a line has a slope of 1, what is the angle of inclination of the line?

Back

The angle of inclination is 45 degrees.