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 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) represents the value of y when x is 0, indicating 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

Convert the equation 2x + 3y = 6 into slope-intercept form.

Back

y = -\frac{2}{3}x + 2

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

If a line has an undefined slope, what type of line is it?

Back

A line with an undefined slope is a vertical line.

Front

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

Back

The slope of the line is -4.

Front

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

Back

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

Front

Write an equation in slope-intercept form for a line that passes through the point (1, 2) with a slope of 5.

Back

y = 5x - 3