Writing Linear Equations 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 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 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

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

Back

A slope of 0 indicates a horizontal line.

Front

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

Back

An undefined slope indicates a vertical line.

Front

Write the equation of a line with a slope of 2 and a y-intercept of -3.

Back

y = 2x - 3.

Front

Identify the slope and y-intercept of the equation y = 4x + 1.

Back

Slope: 4, Y-intercept: (0, 1).

Front

Find the equation of the line that passes through the points (1, 2) and (3, 6).

Back

y = 2x.

Front

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

Back

Slope: 2.

Front

Write the equation of a line with a slope of -1 and passing through the point (2, 3).

Back

y = -x + 5.