Slope Intercept Form

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

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of -2/3, what does this tell you about its direction?

Back

A slope of -2/3 indicates that the line descends from left to right.

Front

What is the y-intercept in the equation y = 4x + 3?

Back

The y-intercept is 3.

Front

How would you write the equation of a line with a slope of 1 and a y-intercept of -5?

Back

The equation would be y = 1x - 5 or simply y = x - 5.

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

The slope is (5 - 2) / (4 - 1) = 3/3 = 1.

Front

If a line has a slope of 4, what does this mean in terms of rise over run?

Back

It means that for every 4 units the line rises, it runs 1 unit to the right.

Front

What is the equation of a line with a slope of -3 and a y-intercept of 2?

Back

The equation is y = -3x + 2.