Slope Intercept and Point Slope Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y (rise) divided by the change in x (run). It is often represented as 'm' in the slope-intercept form of a linear equation.

Front

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

Back

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

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 y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is given by the equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Find the slope of the line that passes through the points (3, 5) and (7, 15).

Back

The slope is 2.

Front

Write an equation in slope-intercept form given a slope of 4 through the point (2,-5).

Back

The equation is y = 4x - 13.

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

What is the slope of the equation y + 3 = 4( x - 5)?

Back

The slope is 4.