CH 5 Algebra Flashcard Review

Front

What is the equation of the line containing the points (0,0) and (1,3)?

Back

y = 3x + 0

Front

How do you find the slope of a line given two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1). For f(0) = -2 and f(8) = 4, m = (4 - (-2)) / (8 - 0) = 6/8 = 3/4.

Front

What is the point-slope form of a line?

Back

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

Front

Write an equation of a line with slope = 3 and passing through the point (1, 2).

Back

y = 3x - 1

Front

What is the slope of a line that passes through the points (2, 1) and (1, 4)?

Back

Slope (m) = (4 - 1) / (1 - 2) = 3 / -1 = -3.

Front

Write an equation of a line with slope = 6 and passing through the point (1, 8).

Back

y = 6x + 2

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the standard form of a line to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y: y = (-A/B)x + (C/B).

Front

What is the y-intercept of the line y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

Write the equation of a line in standard form that passes through (2, 1) and (1, 4).

Back

3x - y = 7.