Writing Equations with Two Points

Front

What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept (b) of a line given the slope and a point on the line?

Back

Use the formula b = y - mx, where (x, y) is the point on the line.

Front

What does it mean for a line to be undefined?

Back

A line is undefined when it is vertical, meaning it has no slope.

Front

Write the equation of the line through the points (8, -7) and (-2, 8).

Back

y = -3/2x + 5

Front

Write the equation of the line through the points (7, 8) and (-12, -11).

Back

y = x + 1

Front

Write the equation of the line through the points (-4, -2) and (4, 10).

Back

y = 3/2x + 4

Front

Write the equation of the line through the points (-5, -2) and (-4, 4).

Back

y = 6x + 28

Front

Write the equation of the line through the points (-6, -19) and (2, 5).

Back

y = 3x - 1

Front

What is the first step in writing the equation of a line given two points?

Back

Calculate the slope (m) using the two points.