Forms of Linear Equations

Point Slope Form

100

Write an equation that passes through (2, 0) and has a slope of - 5.

y - 2 = -5(x)

200

Write an equation that passes through (0, -4) and (5, -3)

y + 4 = ¹⁄₅(x)

300

Find an equation for a line that passes through (-5, 3) and (2, 1).

y - 3 = ^-2⁄₇(x + 5)

400

Write an equation in slope-intercept form that passes though the points (-2, 4) and (5,18).

y=2x+8

500

Find an equation for a line that passes through (2, -9) and (-3, 5).

y + 9 = ^-14⁄₅(x - 2)

Slope-Intercept

100

Find the slope of y = -3x + 2

m = -3

200

Find the y-intercept of the equation, y = ^-5⁄₃x - 4.

b = -4

300

A Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year. Write an equation to model the situation.

y = 0.7 - 0.05x

400

Write the equation 5x - 4y = 20 in slope-intercept form.

y = ⁵⁄₄x - 5

500

Write the equation in slope-intercept form: y-2=3(x-4)

y=3x-10

Standard

100

Find the y intercept of the equation, x + y = 3.

y = 3

200

Find the x intercept for the following equation, 3x + y = 9

x = 3

300

Find the x intercept of the equation, 8x - 4y = 16.

x = 2

400

Write an equation in standard form that passes through the points (0, -4) and (5, 3).

7x - 5y = 20

500

Find the x intercept of the equation, 7x + 4y = 12.

¹²⁄₇

Random

100

Write the equation of the line (in any form). slope of 1 with y-intercept 2

y=x+2

200

What is the capital of Ecuador?

Quito

300

Write the equation of the line where m=2 and passes through (1,2) and (2,4).

y=2(x-1)+2 or y=2(x-2)+4 or y=2x

400

Which US president could write in both Latin and Greek?

James Garfield

He could write Latin with one hand and Greek with the other, at the same time!

500

How many languages are there in the world? (answers within 200 will be considered correct)

Almost 7000 that have been discovered!

Mixed Practice

100

What is the equation of the line with undefined slope and that passes through (-3,7).

x=-3

200

In slope-intercept form, what is the equation of the line that passes through the points (-1,-2) and (-5,-6).

y=x-1

300

What is the equation of the line where m=0 and passes through the point (81, -34)

y=-34

400

In standard form, what is the equation of the line with a y-intercept of -3 and slope of -1/2

x+2y=-6

500

Atari and Bobbi are opening a bakery. The day of their grand opening, they sell 150 muffins in 2 hours. The next day, they sell 800 muffins in 7 hours. Write a linear equation (in any form) to fit this scenario.

y=130(x-2)+150