Words to Equation
Form-al Determination
Slope "John B"
What's the Situation?
Equation Makeover
100

This is the equation (in slope-intercept form) for a line that has a slope of 2/5 and a y-intercept of -18.

What is y=2/5x - 18?

100

This is the name of the form for an equation that matched y=mx+b.

Ex: y = 2/3x + 7

What is slope-intercept form?

100

What is the slope of a line that is parallel to the equation y = 3/5x - 9?

What is 3/5?

100

Mr. Newman starts the day with 140 homework papers to grade. Every class period he gains 20 more papers to grade. Write an equation for y, the number of papers he needs to grade based on x, the number of class periods that have gone by.

What is y = 20x + 140?

100

The equation -4x + 2y = 8 in slope-intercept form.

What is y = 2x + 4?

200

This is the equation (in slope-intercept form) for a line that has a slope of -2/3 and goes through point (6, 2).

What is y = -2/3x + 6?

200

This is the form of an equation in which both x and y are on the same side of the equation. For example: 3x - 2y = 9.

What is standard form?

200

This is the slope of a line that is perpendicular to line y = -1/2(x-2) + 8.

What is 2?

200

The temperature at 6 AM was 35 F. If the temperature was going down by 2 F per hour, write an equation for the temperature, y, in terms of x hours after midnight.

What is y = -2x + 47?

200

The equation y = 1/2(3x - 4) + 6 in slope-intercept form. 

What is y = 3/2x + 4?

300

This is the equation in slope-intercept form for an equation that goes through the points (3, -18) and (-2, 32).

What is y = -10x + 12?

300

This is the form of equation in which there is an "a", "h" and "k" parameter where "a" is the slope and "h" and "k" are the x and y values of a point on the line.

What is point-slope form?

300

The slope of a line that goes through the points (3, 5) and (7, -11).

What is -4?

300

Mr. Smith has been saving money in a bank account. Two months after his brithday he had $1200 in the account. 9 months after his birthday he has $2250. Write an equation in slope-intercept form for y, the amount he has in his account, based on x the months after his birthday. 

What is y = 150x + 900?

300

The equation y = 1/2x + 9 written in point-slope form with no fractions.

What is -x + 2y = 18 or 2y -x = 18?
400

This is the slope-intercept form of an equation that goes through point (2, 5) and is parallel to the line y = 1/2x + 9.

What is y = 1/2x + 4?

400

The following equation is in this form.

y = 3(x-2)+1

What is point-slope form?

400

This is the slope of a horizontal line.

What is zero?

400

Mr. Newman buys coffee and donuts for some of the staff at ARMS. Donuts are $1.25 each and coffee is $2.25 each. Write an equation for the number of coffees, x, and donuts, y, if he spends a total of $78.50 on the entire order.

What is 1.25y + 2.25x = 78.50?

400

The equation 3x - 4y = 0 written in slope-intercept form.

What is y = 3/4 x?

500

This is the equation in slope-intercept form for a line that is perpendicular to y = 1/3x - 12 and goes through point (-2, -3). 

What is y = -3x - 9?

500

If given two rates, you would use this form of an equation.

What is standard form?

500

This is the slope of a vertical line.

What is "no slope" or "undefined"?

500

Sarah is saving money at a constant rate. Four months ago she had $140 saved up. She determined that at the current rate of saving she will have $1740 in 12 months from now. Write an equation in slope-intercept form for the amount she has saved, y, in terms of the number of months from now, x.

What is y = 100x + 540?

500

This type of line can only be written in standard form as it is impossible to write it in slope-intercept or point-slope form.

What is a vertical line?