Point Slope Form Practice 3

Front

What is the Point-Slope Form of a linear equation?

Back

The 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

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

Back

To convert from slope-intercept form (y = mx + b) to point-slope form, identify a point (x1, y1) on the line and use the slope m in the formula y - y1 = m(x - x1).

Front

What does the slope (m) represent in the Point-Slope Form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Given the point (3, 2) and slope -4, write the equation in Point-Slope Form.

Back

y - 2 = -4(x - 3).

Front

What is the significance of the point (x1, y1) in the Point-Slope Form?

Back

The point (x1, y1) is a specific point on the line, which is used to anchor the equation in the Point-Slope Form.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

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

Write the Point-Slope Form of the line that passes through (5, -2) with a slope of 1/2.

Back

y + 2 = 1/2(x - 5).

Front

What is the relationship between Point-Slope Form and Slope-Intercept Form?

Back

Point-Slope Form can be converted to Slope-Intercept Form (y = mx + b) by solving for y.

Front

If the equation of a line is y - 3 = 2(x + 1), what is the slope of the line?

Back

The slope of the line is 2.