Point Slope Form

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 y-intercept from the Point-Slope Form?

Back

To find the y-intercept, rearrange the Point-Slope Form into slope-intercept form (y = mx + b) and solve for b.

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 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

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero.

Front

Convert the equation y - 3 = 4(x - 0) to slope-intercept form.

Back

y = 4x + 3.

Front

Write the Point-Slope Form of the line that passes through (2, 3) with a slope of 5.

Back

y - 3 = 5(x - 2).

Front

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

Back

The y-intercept is 5.

Front

Write the equation in Point-Slope Form for a line with slope -2 passing through (1, 4).

Back

y - 4 = -2(x - 1).

Front

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

Back

Two lines are parallel if they have the same slope.