Slope Intercept Form

Throwbacks

100

What is the equation for slope

(Y2-Y1)/(X2-X1)

200

Find the slope of the line between the following two points. (2,4), (6, 6)

1/2

300

In a right triangle, given an angle measure, the length of the opposite side and looking for the length of the adjacent side, which trig ratio would you use?

Tangent

400

In a right triangle the angle of depression is congruent to...?

The angle of elevation

500

Write an equation to model the following situation...

Molly rented a bike that costs $16 plus $2 per hour. If she pays $32 total, how many hours did she rent the bike?

16 + 2x = 32

Slope-Intercept Form

100

What is the equation for Slope intercept form

y=mx+b

200

Determine the slope and y-intercept of the following equation. y = 3x +5

m=3 b=5

300

Determine the slope and y-intercept of the following equation. y = -2x +9

m=-2 b=9

400

Determine the slope and y-intercept of the following equation. y = 3+x

m=1 b=3

500

Determine the slope and y-intercept of the following equation. x + 2y = 6

m = -1/2 b = 3

Standard Form

100

What is the equation for standard form

Ax + By = C

200

Find the X and Y intercept of the following equation 3x + 4y = 24

x=8 y=6

300

Write the following equation in standard form. y = (2/5)x + 12

2x + 5y = 60

400

Write the equation in standard form. y - 3 = 3(x + 3)

3x -y = -12

500

Determine if the equation is linear. Say "Yes" or "No" and Explain. 2y + 3x = y +3x +7

Yes, y = 7 is a horizontal line, which is linear. OR In standard form this can be written 0x + y = 7. Therefore it is linear.

Point-Slope Form

100

What is the equation for point slope form

y-y1=m(x-x1)

200

Use the following to write your equation in point slope form. m=3 ; (2, 5)

y-5=3(x-2)

300

Use the following to write your equation in point slope form. m=3; (5, -2)

y+2=3(x-5)

400

Use the following two points to write your equation in point slope form. (9, 5) and (-2, -3)

y-5 = 8/11(x-9) or y+3 = 8/11(x+2)

500

Use the following to write your equation in point slope form. (3, 4) (4, 7)

y-4=3(x-3) or y-7=3(x-4)

Parallel and Perpendicular

100

This is true for any two parallel lines.

They have the same slope

200

This is true for any two perpendicular lines.

Their slopes are opposite reciprocals. OR Their slopes multiply to equal -1.

300

Write an equation of a line that is parallel to y = 3x + 4 and goes through the point (0, 5).

y=3x + 5

400

Write an equation of a line that is perpendicular to y = -2x + 1 that goes through the point (0, -3)

y=(1/2)x - 3

500

Determine whether the following equations are parallel, perpendicular, or neither. EXPLAIN! 6x - 2y = 7 AND - 3x + y = 4

parallel, they have the same slope, but different y-int.