Writing Equations in Slope-Intercept Form from Two Points

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

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept b represents the point where the line crosses the y-axis.

Front

Given points (2, 3) and (4, 7), what is the slope of the line?

Back

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

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

What is the y-intercept of the line represented by the equation y = 5x + 2?

Back

The y-intercept is 2.

Front

How do you convert the points (1, 2) and (3, 6) into the slope-intercept form?

Back

First, find the slope: m = (6 - 2) / (3 - 1) = 2. Then use point-slope form to find y = 2x + 0.

Front

What is the equation of the line that passes through (0, 0) and has a slope of 4?

Back

The equation is y = 4x.

Front

If a line has a slope of 0, what type of line is it?

Back

A slope of 0 indicates a horizontal line.

Front

What is the equation of the line that passes through (1, 2) and (1, 5)?

Back

The equation is x = 1, which is a vertical line.