Linear Equations and Slope

Front

What is the equation of a line in point-slope form if the y-intercept is 5 and the slope is -3?

Back

y - 5 = -3(x - 0)

Front

What is the slope of a horizontal line?

Back

0

Front

Given two points (-2,y) and (6,-11) with a slope of -3/4, how do you solve for y?

Back

y = -5

Front

What is the slope of a line that decreases from left to right?

Back

Negative

Front

If a line has the equation y - 5 = 4(x + 2), what is one point on this line?

Back

(-2, 5)

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x.

Front

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

Back

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

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a slope of 1 indicate about a line?

Back

The line rises one unit up for every one unit it moves to the right.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.