Linear Equation Different Forms

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

A rain gauge shows 3 cm of rainwater. Which of the following equations give the height, h, if it rains at a rate of 0.25 cm per hour, after t amount of hours?

• h = 0.25t + 3

• h = 3t + 0.25

• t = 0.25t - 3

• t = 3h + 0.25

A camp charges families $625 per month for one child then $225 per month for each additional child. The linear equation y = 225x + 625 represents the amount a family with x additional children would pay.  Identify the slope and y-intercept. 

• a

• b

• c

• d

The following problem has been solved, but there may be an error.  State whether the problem is correct or not.  If not, explain the error.

• This is correct.

• The student should have a y-intercept of -3, then counted down 1 and to the right 4.

• The student should a y-intercept of 3, then counted down 1 and to the right 4.

• The student should have a y-intercept of -3, then counted up 1 and to the right 4.

Write the point-slope form of the equation of the line through the given points.

through: (4, 4) and (0, 0)

• y - 4 = -(x + 4)

• y + 4 = -(x - 4)

• y + 4 = x - 4

• y - 4 = x - 4

Write the point-slope for given the following: through (-3, 1) and (3, 0)

• y + 3 = -6/5(x + 1)

• y + 3 = -5/6(x - 1)

• y + 3 =1/6(x - 1)

• y - 1 = -1/6(x + 3)

Write the slope-intercept form of the equation of each line.

• y = -2x - 2

• y=2x-2

• y=-2x+2

Write the slope-Intercept form of this line:

Write the standard form of the equation of each line given the slope and y-intercept.

Slope = 6, y-intercept = 4

• 3x + 2 y = -6

• 6x - y = -4

• 6x + 2 y = 3

• 6x - 4 y = -1

Write the Standard form given the following:

Slope = -1/2, y-intercept = 4

• x + 2 y = 8

• 8x - 2 y = 1

• 2x - 8 y = 1

• 2x - 8 y = -1