Point Slope Form 1

Front

What is the Point Slope Equation?

Back

The Point Slope Equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope m is calculated as m = (y_2 - y_1) / (x_2 - x_1).

Front

Given points (3, -20) and (5, 8), what is the Point Slope Equation?

Back

The slope m = (8 - (-20)) / (5 - 3) = 14. The Point Slope Equations are: y + 20 = 14(x - 3) and y - 8 = 14(x - 5).

Front

What is the Slope Intercept Form of a line?

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

Using m = 6 and the point (-2, -9), what is the correct Point Slope Equation?

Back

The correct Point Slope Equation is y + 9 = 6(x + 2).

Front

What is the mistake in the equation y - 9 = 6(x + 2)?

Back

The mistake is that the value with Y is incorrect and should be + 9.

Front

Given points (-4, -5) and (-5, 5), what is the correct Point Slope Equation?

Back

First, find the slope: m = (5 - (-5)) / (-5 - (-4)) = -10. The correct Point Slope Equation is y + 5 = -10(x + 4).

Front

What is the formula to convert from Point Slope Form to Slope Intercept Form?

Back

To convert, solve for y: y - y_1 = m(x - x_1) becomes y = mx - mx_1 + y_1.

Front

What does the slope represent in a linear equation?

Back

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

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope (m).