Given point and slope, find the slope-intercept equation.

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

How do you find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

Given the slope m = 2 and the point (1, 3), write the slope-intercept equation.

Back

y = 2x + 1.

Front

What is the slope of the line represented by the equation y = -4x + 7?

Back

The slope is -4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you convert the equation y = 3x + 2 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b.

Front

What is the slope of the line through the points (2, 3) and (4, 7)?

Back

m = (7 - 3) / (4 - 2) = 2.

Front

Write the equation of a line with slope -1 and y-intercept 4.

Back

y = -1x + 4.