Finding Equations of Lines

Front

What does 'b' represent in the equation y = mx + b?

Back

y-intercept

Front

Write the equation in point-slope form for the line that contains the points (-2, -3) and (4, 3).

Back

y + 3 = 1(x + 2)

Front

What is the point-slope form of the line through (2, 3) with a slope of \frac{1}{4}?

Back

y - 3 = \frac{1}{4}(x - 2)

Front

Given that the slope is \frac{2}{3} and the y-intercept is -3, what is the equation of the line?

Back

y = \frac{2}{3}x - 3

Front

What is the equation for the line in slope-intercept form with a slope of 7 that passes through (0,1)?

Back

y = 7x + 1

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = \frac{y2 - y1}{x2 - x1}

Front

What is the formula for point-slope form?

Back

y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

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

Back

The line is vertical.