Slope and point-slope form

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does a slope of 0 indicate about a line?

Back

The line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

The line is vertical.

Front

Write the point-slope form of a line given a point (x1, y1) and slope m.

Back

y - y1 = m(x - x1)

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

m = (7 - 3) / (4 - 2) = 2.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

How do you convert the slope-intercept form to point-slope form?

Back

Use the slope and a point on the line to rewrite it as y - y1 = m(x - x1).

Front

Given the slope m = -1 and the point (1, 2), write the equation of the line in point-slope form.

Back

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

Front

What is the slope of the line that connects the points (0, 0) and (5, 5)?

Back

m = (5 - 0) / (5 - 0) = 1.

Front

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

Back

The line descends from left to right.