Slope Intercept and Point Slope Review

Front

What is the Point Slope equation?

Back

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

Front

What is the Slope Intercept equation?

Back

The Slope Intercept equation is given by the formula: y = mx + b, where m is the slope and b is the y-intercept.

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 of the line represented by the equation y = 1/4x - 3?

Back

The slope of the line is 1/4.

Front

What is the y-intercept of the line represented by the equation y = -5/3x + 2?

Back

The y-intercept of the line is 2.

Front

Convert the Point Slope equation y + 3 = -5/3(x - 3) to Slope Intercept form.

Back

The Slope Intercept form is y = -5/3x + 2.

Front

What is the Slope Intercept equation for points (4,-2) and (-4,-4)?

Back

The Slope Intercept equation is y = 1/4x - 3.

Front

What is the Point Slope equation for points (4,-2) and (-4,-4)?

Back

The Point Slope equations are y + 2 = 1/4(x - 4) and y + 4 = 1/4(x + 4).

Front

What is the Slope Intercept equation for points (-5,-2) and (3,-1)?

Back

The Slope Intercept equation is y = 1/8x - 11/8.

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.