Linear Equations Forms

Forms of Linear Equations

100

What is Slope Intercept Form?

y=mx+b

200

What is Standard Form?

Ax+By=C

300

What Form is:

y-y₁=m(x-x₁)

Point Slope Form

400

What formula (or equation) can be used to find slope?

(hint: it is not Rise/Run)

m= y₂-y₁/x₂-x₁

Slope Intercept Form

100

 Write an equation when the slope is -2 and the y-intercept is (0,-2)

y= -2x-2

200

Write an equation when the slope is 4/5 and the y-intercept is (0,-1).

y=4/5x - 1

300

Write an equation for when slope is 1/3 and you have a point (0,-3).

y=1/3x-3

400

Find the slope between the two points.

(0,4) and (3,2)

m= -2/3

Point Slope Form

100

Write an equation of a line that passes through (-3,5) with a slope of 3.

y-5=3(x+3)

200

Write an equation when you are given (6,6) and a slope of 2.

y-6=2(x-6)

300

Write an equation of a line that passes through the point (-8,6) and has a slope of -3/4.

y-6=-3/4(x+8)

400

Write an equation of a line that passes through the point (7,5) and has a slope of 3.

y-5=3(x-7)

Standard Form

100

Convert the equation from Slope intercept form to standard form:

y=3x-16

-3x+y=-16

200

Convert the equation from Slope Intercept Form to Standard Form:

y=-3/4x +0  

3x+4y=0

300

Write an equation in standard form when given the slope of 3/4 and an y-intercept of -3.

(hint: write in slope intercept form and convert to standard form)

-3x+4y=-12

400

Write an equation in standard form when given the slope of -2/5 and an y-intercept of 2.

(hint: write in slope intercept form and convert to standard form)

2x+5y=10