Writing Point Slope Form

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by 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 between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

Convert the equation y - 1 = 4(x + 2) to slope-intercept form.

Back

The slope-intercept form is y = 4x + 7.

Front

Given the slope m = 3 and the point (2, 5), write the equation in point-slope form.

Back

y - 5 = 3(x - 2).

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope is -3.

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

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

Back

An undefined slope indicates that the line is vertical.

Front

Write the point-slope form for the line that passes through (1, 2) with a slope of 4.

Back

y - 2 = 4(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.