2-2 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 convert point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

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, indicating how steep the line is.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by 1 unit, resulting in a downward slant from left to right.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

Write the point-slope form of the equation of the line through the point (4, 1) with a slope of -1.

Back

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

Front

Write the equation of the line in slope-intercept form with f(2)=-2 and f(1)=1.

Back

y = 3x - 2.

Front

Write the equation of the line with slope -2 through the point (7, −1).

Back

y = -2x + 13.

Front

Write the equation of the line with slope 3/5 through the point (20, 6).

Back

y = 3/5x - 6.