Slope and Slope Intercept

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

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

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

Front

Convert the equation x + 2y = 10 to slope-intercept form.

Back

y = -1/2x + 5.

Front

Convert the equation 5x + 5y = 5 to slope-intercept form.

Back

y = -x + 1.

Front

Write the equation of a line with a slope of 12 and a y-intercept of 10 in slope-intercept form.

Back

y = 12x + 10.

Front

What is the slope of the line represented by the equation y = 4/3x + 2?

Back

The slope is 4/3.

Front

If a line has a slope of -3/4, what does this indicate about the line's direction?

Back

The line is decreasing; as x increases, y decreases.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.