Slope-Intercept Form and Y-Intercept

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 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 is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0, represented by b in the slope-intercept form.

Front

How do you find the y-intercept from the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

Solve for y: 2y - 4 = 8x

Back

y = 4x + 2.

Front

What is the slope of the line represented by the equation y = -5x + 1?

Back

The slope is -5.

Front

How would you write the equation with a slope of 1/2 and a y-intercept of 3?

Back

y = 1/2x + 3.

Front

Solve for y: 4x + y = 16

Back

y = -4x + 16.

Front

What is the y-intercept in the equation y = 7x - 2?

Back

The y-intercept is -2.

Front

What is the x-intercept for the equation y = 2x + 6?

Back

The x-intercept is -3.