Slope-Intercept Form: Graphs

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 slope-intercept form?

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 slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

If the slope of a line is 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in x, y increases by 4 units.

Front

How do you find the y-intercept from the equation y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope of the line is -3.

Front

Write the equation of a line with a slope of 1 and a y-intercept of -2 in slope-intercept form.

Back

The equation is y = 1x - 2 or y = x - 2.

Front

What is the y-intercept of the line represented by the equation y = rac{1}{2}x + 3?

Back

The y-intercept is 3.

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 that passes through the point (0, 4) and has a slope of -2?

Back

The equation is y = -2x + 4.