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 (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, representing the value of y when x = 0.

Front

Convert the equation 2x + 4y = 8 into slope-intercept form.

Back

y = -1/2x + 2.

Front

If a line has a slope of 3 and a y-intercept of -1, what is the equation of the line?

Back

y = 3x - 1.

Front

Write the equation for a line with a slope of -2 and a y-intercept of 5.

Back

y = -2x + 5.

Front

What is the slope of the line represented by the equation y = 1/4x + 3?

Back

The slope is 1/4.

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 equation of a line that passes through the point (0, 2) with a slope of 4?

Back

y = 4x + 2.

Front

If a line's equation is y = -3x + 6, what is the slope?

Back

The slope is -3.