Point-Slope Form Practice

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 find the slope (m) 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 that passes through the points (2, 3) and (4, 7)?

Back

The slope (m) is 2, calculated as m = (7 - 3) / (4 - 2).

Front

Convert the Point-Slope Form y - 1 = 3(x - 2) to Slope-Intercept Form.

Back

The Slope-Intercept Form is y = 3x - 5.

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; it indicates how steep the line is.

Front

If a line has a slope of -4, what does this indicate about the line's direction?

Back

A slope of -4 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 4 units.

Front

Write the Point-Slope Form for a line with slope 5 passing through the point (1, 2).

Back

The Point-Slope Form is y - 2 = 5(x - 1).

Front

What is the equation of a line in Point-Slope Form that has a slope of 1 and passes through the point (0, 0)?

Back

The equation is y - 0 = 1(x - 0) or simply y = x.

Front

Identify the correct Point-Slope Form for the line with slope -2 passing through (3, 4).

Back

The correct form is y - 4 = -2(x - 3).

Front

How do you convert the equation y + 2 = 3(x - 1) to Slope-Intercept Form?

Back

The Slope-Intercept Form is y = 3x - 5.