Writing Equations of Lines

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

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

Back

The y-intercept is (0, 5).

Front

Write the equation of a line with slope 1 and y-intercept -3.

Back

y = 1x - 3 or y = x - 3.

Front

What is the equation of a line with slope -1 and y-intercept 2?

Back

y = -1x + 2 or y = -x + 2.

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 the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.