Point-Slope and Slope-Intercept Equations

Front

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

Back

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

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

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

Back

To convert, solve for y: y = mx + b, where b is the y-intercept.

Front

What is the Slope-Intercept form of a linear equation?

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

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

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

What is the slope of the line represented by the equation y - 4 = -1/3(x - 7)?

Back

The slope of the line is -1/3.

Front

Given the point (10, 5) and a slope of -3, write the equation in Point-Slope form.

Back

The equation is y - 5 = -3(x - 10).

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

Write the Point-Slope form of the line that passes through (4, -7) with a slope of -1/4.

Back

The equation is y + 7 = -1/4(x - 4).