Slope Intercept Form

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope 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 a linear equation?

Back

The y-intercept is the value of y when x = 0, representing where the line crosses the y-axis.

Front

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

Back

y = 3x + 2

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 4x - 5?

Back

The slope is 4.

Front

Determine the slope and y-intercept from the equation y = -1/2x + 4.

Back

Slope: -1/2, y-intercept: (0, 4).

Front

What is the y-intercept of the line represented by the equation y = 7x + 1?

Back

The y-intercept is 1.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.