Point Slope and Slope Intercept Form

Front

What is the point used to write the equation y + 6 = 10( x - 9)?

Back

(9, -6)

Front

What is the slope of the line represented by the equation y - 5 = 3 (x - 2)?

Back

3

Front

Convert the equation y - 5 = 3 (x - 2) to slope-intercept form.

Back

y = 3x - 1

Front

For the equation y - 3 = 2(x + 4), what is the slope and what point does it contain?

Back

Slope: 2, Point: (-4, 3)

Front

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

Back

y + 7 = -1/4(x - 4)

Front

What is the slope-intercept form of a line with slope m and y-intercept b?

Back

y = mx + b

Front

How do you identify the slope from the point-slope form of a line?

Back

The slope is the coefficient of (x - x1) in the equation y - y1 = m(x - x1).

Front

What does the point-slope form of a line represent?

Back

It represents a line with a known slope that passes through a specific point.

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

The line decreases as it moves from left to right.

Front

How can you convert from point-slope form to slope-intercept form?

Back

Isolate y to get y = mx + b.