Writing Equations from Graphs B

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

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

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

A line with a slope of 0 is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

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

Back

A line with an undefined slope is vertical, meaning it goes straight up and down.

Front

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

Back

y = 2x + 3.

Front

Write the equation of a line with a slope of -1 and a y-intercept of 4.

Back

y = -1x + 4 or y = -x + 4.

Front

What is the slope of the line represented by the equation y = 3x - 5?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 1?

Back

The y-intercept of the line is 1.