Equation of a line from points

Front

What does 'b' represent in the slope-intercept form of a line (y=mx+b)?

Back

The y-intercept of the line.

Front

How do you find the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

2

Front

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

Back

5

Front

Write the equation of the line that has a slope of -1 and passes through the point (1, 2).

Back

y = -1x + 3

Front

What is the general form of a linear equation?

Back

Ax + By + C = 0, where A, B, and C are constants.

Front

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

Back

The line is horizontal.

Front

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

Back

The line is vertical.

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

-1/3

Front

How do you convert the equation of a line from standard form (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

Solve for y to isolate it on one side.