Slope, Slope- Intercept, Point- Slope

Equations

Slope

Point- Slope

Slope-Intercept

Re-Writing in slope-Intercept Form

100

y= mx=b

Slope- Intercept

100

passes through (-2, -4) and (1, 8)

m=4

100

slope 5/6, passes through (12,4)

y - 4 = 5/6 (x - 12)

100

The equation when the slope is 3/2 and the y-intercept is at (0, 4).

What is y=3/2x+4

100

Transform the equation into slope-intercept form. -x+y=3

What is y=x+3

200

Y-Y₁= m( X-X₁)

Point- Slope

200

What is the slope?

y= 3x-4

m=3

200

Slope 3,Through ( -2, 4)

y - 4= 3(x+2)

200

The equation when m=5 and b=-3.

What is y=5x-3

200

Transform the equation into slope-intercept form. 3x+5y=10

What is y=-3/5x+2

300

Which equation do I use first?

(6,7) (3,2)

m=Y₂-Y₁/ X₂-X₁

300

(1,5), (-1,-3)

m=4

300

slope -2, passes through (-4,-6)

y+6= -2(x + 4)

300

The equation of a line when the slope is -3 and it goes through the point (1, 2)

What is y=-3x+ 5

300

Transform the equation into slope-intercept form. 12x+3y=9

What is y=-4x+3

400

Slope

m=Y₂-Y₁/ X₂-X₁

400

(-2,-2), (10,-2)

m=0

400

Passes through (2,5) , (4, 7)

y - 5 = 1(x - 2) or y - 7 = 1(x - 4)

400

The equation of the line that goes through (-3,-5) and (3,-1)

What is y=2/3x-3

400

Transform the equation into slope-intercept form. x+3y=-15

What is y=-1/3x-5

500

Point- Slope

Y-Y₁= m( X-X₁)

500

Passes through (2,0) and (0,-6)

m= 3

500

passes through (-4,-1) and (-2, -6)

y+1=-5/2(x+4) or y+6=-5/2(x+2)

500

Passes through the points (2 ,3) and (-3, 7)

What is y = -4/5x + 23/5

500

Transform the equation into slope-intercept form. 5x-y=2

What is y=5x-2