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

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

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 a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

If the slope of a line is 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

Write the equation of a line with a slope of -1 and a y-intercept of 3.

Back

y = -1x + 3 or y = -x + 3.

Front

Determine the slope and y-intercept of the equation y = 4x - 5.

Back

Slope: 4, y-intercept: (0, -5).

Front

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

Back

The slope is -2.

Front

How do you find the y-intercept from the equation y = 1/2x + 4?

Back

The y-intercept is 4, which is the value of b in the slope-intercept form.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

y = 3x - 2.