Math Nation Algebra

True or False. A rate of change must be negative.

• True

• False

True or False? The rate of change for a vertical line is zero.

• True

• False

Find the slope of the line which goes through these points.

(-3,-1), (-1,5)

• -3

• 1/3

• 3

• 6

Write the equation in slope-intercept form.

6x + 9y = 27

• y = -2/3x - 5

• y = -2/3x + 3

• y = 2/3 x - 8

• y = 2/3x + 3

Write each equation in slope-intercept form.

7x = 3y - 12

• y = 3/7x -8

• y = 7/3x -9

• y = -7/3x + 4

• y = 7/3x + 4

In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year for the next five years. Write a linear function that models this situation.

• y = 0.07 - 0.05x

• y = -0.07 + 0.05

• y = 0.07 + 0.05x

• y = 0.07x - 0.05

Find the x and y intercepts for the following equation.

6x + 12y = 24

• y = 6, x = 12

• x = 4, y = 2

• x = 6, y = 12

• x = -2, y = 3

Write an equation in point-slope form for the line that has the given slope m and that passes through the given point.

m = 1/4 ; (0,-2)

• y = 4x + 2

• y + 2 = 1/4x

• y - 2 = 1/4x

• y = 1/4(x-2)

Write an equation in slope-intercept form for the line that passes through the given points.

(2,3) (1,5)

• y = 1/2x -7

• y = -2x - 7

• y = 2x + 5

• y = -2x + 7

Write an equation in slope-intercept form for the lie that passes through the given point and is parallel to the given line.

(-3,5) ; y = -1/2x + 4

• y = -1/2 +6

• y = -1/2x + 3.5

• y = 1/2x - 6

• y = 1/2 + 8