Slope from Equation, Table, & Graph

Slope & Y-Intercept from Equation, Table, Graph & Situation

Change in y OVER Change in x

The slope in a Y-form equation is ALWAYS the # in front of x.

x ix NOT Part of the SLOPE!

ONLY the # is the SLOPE.

Slope is a # not an x or variable.

The slope is the 3 NOT 3x.

Multiple Choice

What is the slope in this equation?

• -2

• +5

• 2

• 2x

Multiple Choice

What is the slope of this equation?

• $-\frac{1}{2}$

• $\frac{1}{2}$

• 2

• $\frac{1}{2}x$

Multiple Choice

What is the slope of this equation?

• $-\frac{7}{3}x$

• $+3$

• $\frac{7}{3}$

• $-3$

Multiple Choice

What is the slope of this equation?

• $-6x$

• $-6$

• $-5$

• $5$

Multiple Choice

What is the slope of the equation?

• $0$

• $1$

• undefined

• not one

Finding the Y-Intercept from an Equation

1. Find the constant. Also called your starting point.

2. It is the number added or subtracted to the slope/x term.

The y-intercept is -5.

Multiple Choice

What is the y-Intercept in this equation?

• $2$

• $5$

• $2x$

• $-5$

Multiple Choice

What is the y-Intercept in this equation?

• $\frac{1}{2}$

• $2$

• $\frac{1}{2}x$

• $-2$

Multiple Choice

What is the y-Interceptof this equation?

• $-\frac{7}{3}x$

• $+3$

• $\frac{7}{3}$

• $-3$

Multiple Choice

What is the y-Intercept of this equation?

• $-6x$

• $-6$

• $-5$

• $5$

Multiple Choice

What is the y-intercept of the equation?

• $0$

• $1$

• undefined

• not one

Multiple Choice

What is the slope & y-inerept of this equation?

• m = -2x & b = 5

• m = -2 & b = 5

• m = 5 & b = -2

• m = 2 & b = 5

Multiple Choice

What is the slope & y-inerept of this equation?

• m = 0x & b = 3

• m = 1 & b = 3

• m = 3 & b = 1

•  b = 3

Finding the slope from a table.

1. Find the difference (Subtract) in the Y.
2. Find the difference (subtract) in the x.

 $\frac{y}{x}$  3. write the answers as Y over x.
4. Simplify if needed.

Multiple Choice

What is the slope in this table?

• $3$

• $4$

• $0$

• $undefined$

Multiple Choice

What is the slope in this table?

• $2$

• $4$

• $-2$

• 30

Multiple Choice

What is the slope in this table?

•  $-2$  

•  $+2$  

•  $0$  

•  $-4$  

Multiple Choice

What is the slope in this table?

• $+6$

• $-6$

• $0$

• undefined

Finding the y-Intercept in a table.

Find the # for y that coordinates with x=0.

In the coordinate point where x = 0, that's your y- Intercept.

y-intercept in this pic is (0, 15) or 15.

Multiple Choice

What is the y-intercept in this table?

• $3$

• $4$

• $0$

• $undefined$

Multiple Choice

What is the y-intercept in this table?

• $2$

• $4$

•  $-30$ 

•  $30$  

Multiple Choice

What is the y-intercept in this table?

•  $-2$  

•  $+2$  

•  $0$  

•  $-4$  

Multiple Choice

What is the y-intercept in this table?

• $+6$

• $-6$

• $0$

• undefined

Finding the slope from a graph.

• draw a slope right triangle between 2 points.

• Find the change in y (how much the triangle rises).

• Find the change in x (how much the triangle runs.

•  $\frac{y=rise}{x\ =\ run}$  Write the slope as rise over the run. Simplify if needed.

• Check to see if it is a positive slope? or Negative slope? Uphill? or Downhill?

Multiple Choice

What is the slope?

• $\frac{1}{5}$

• $-5$

• $0$

• undefined

Multiple Choice

What is the slope?

• $\frac{2}{5}$

• $-\frac{2}{5}$

• $-2$

Finding the slope & y-intercept from a situation.

• What is the rate at which something is changing?

• Example: had 6 dogs & gained 3 dogs per hour=

   $\frac{3\ dogs}{1\ hour}$  is the slope. 6 is the y-intercept (starting value).

• Example: She had 7 cookies then, ate 2 cookies every 3 minutes =  $\frac{2\ cookies}{-3\min utes}$ is the slope. 7  is the y-intercept (starting point)

Multiple Choice

Mrs. S had 12 doughnuts. Skye ate 3 of Mrs. S's doughnuts every 2 minutes. What is the slope and what is the y-intercept?

• m = 12, b = 3

• m = 12,

  b =

  $\frac{2}{3}$

• m = $\frac{2}{3}$ , b = 12

• m = $-\frac{3}{2}$ , b = 12

Multiple Choice

Juan had $50 in his bank account. He got a job making $15 every hour. What is the slope and what is the y-intercept?

• m = 50, b = 15

• m = 50 , b = -15

• m = 15, b = 50

• m = -15, b = -50

Multiple Choice

Emily has 13 stuffies. She collects 3 new stuffies every 4 weeks.  What is the slope and what is the y-intercept?

• m = 13, b = 4

• m = 3 , b = 13

• m =  $\frac{3}{4}$   b = 13

• m =  $\frac{4}{3}$  , b = 13