Converting from Point Slope to Slope Intercept

Front

What is the definition of Point-Slope Form?

Back

Point-Slope Form is an equation of a line in the form of y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is the definition of Slope-Intercept Form?

Back

Slope-Intercept Form is an equation of a line in the form of y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert from Point-Slope Form to Slope-Intercept Form?

Back

To convert, solve for y in the Point-Slope Form equation to isolate y on one side.

Front

What is the y-intercept of the equation y - 6 = -2(x + 5)?

Back

The y-intercept is -4.

Front

Is the equation y - 1 = \frac{1}{2}(x + 8) in Slope-Intercept Form or Point-Slope Form?

Back

It is in Point-Slope Form.

Front

Convert the equation y - 5 = 3(x + 2) to Slope-Intercept Form.

Back

The equation in Slope-Intercept Form is y = 3x + 11.

Front

Convert the equation y + 2 = -3(x - 5) to Slope-Intercept Form.

Back

The equation in Slope-Intercept Form is y = -3x + 13.

Front

Convert the equation y - 2 = -4(x - 3) to Slope-Intercept Form.

Back

The equation in Slope-Intercept Form is y = -4x + 14.

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) represents the point where the line crosses the y-axis.