Front

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

Back

The slope-intercept form is given by the equation 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) is the point where the line crosses the y-axis, meaning it is the value of y when x = 0.

Front

How do you find 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 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

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 = 4x - 7?

Back

The y-intercept of the line is -7.

Front

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

Back

The equation is y = 1x + 4 or simply y = x + 4.

Front

How do you graph the equation y = 2x + 3?

Back

Start at the y-intercept (0, 3) on the y-axis, then use the slope (2) to rise 2 units up and run 1 unit to the right.

Front

What is the slope of the line represented by the equation y = 0.5x + 1?

Back

The slope of the line is 0.5.