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

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  or ( 0 , 3)

200

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

x = 3  or (3 , 0)

300

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

x = 2  or (2 , 0)

400

Find the y-intercept for the equation 3x + 4y = -12

y = -3   or  ( 0 , -3)

500

Write an equation in slope intercept form that passes through the points (0, -2) and (5, 3).

y = 1x -2    or   y = x - 2

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 in point slope form ofor a line having a slope of 2 and passing through points (1,2) and (2,4).

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

400

What is the longest river in the world?

Bonus:  How long is it in miles?

The Nile River

4,132 miles

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 form is the equation  y = 3/4x + 7 written in?

Slope-Intercept Form

200

WHat form is the equation  3x + 5y = 15 written in?

Standard Form

300

What form is the equation y - 4 = -8(x + 3) written in?

Point-Slope Form

400

What is the equation of the line with zero slope and that passes through the point (0 , 3)?

y = 0x + 3 or y = 3

500

In slope-intercept form, what is the equation of the line that passes through the points (0,-1) and (-4,-5)

y=1x - 1   or  y = x - 1