Slope in Table Values & Y-mx + b

Slope of the Line

table of values

y=mx + b

Multiple Select

What is the slope of a line?

• rise/run

• y-intercept

• the steepness of the line

• the change in y divided by change in x

Slope in Table of Values

• identify two points(ordered pairs)

• use the slope formula

•  $m=\frac{y2-y1}{x2-x1}$  

• ordered pair 1 (x1, y1)

• ordered pair 2 (x2, y2)

Multiple Select

How to find a slope in a given table of values?

• use slope formula,

  $m=\frac{y2-y1}{x2-x1}$

• identify two ordered pairs and plugged it in the slope formula

• plugged each ordered pair in the slope formula

Slope in Table of Values

•  $m=\frac{y2-y1}{x2-x1}$ 

• (-1, 6) and (1,2)

•  $m=\frac{2-6}{1-\left(-1\right)}$  = $\frac{2-6}{1+1}=\frac{-4}{2}$  

Multiple Choice

From the table of values and given ordered pairs(-1, 6) and (2,0), the slope is

• -1/2

• 1/2

• 2

• -2

Slope in Y=mx + b

• example:

   $y=-\frac{3}{4}x\ +2$  

• m= -3/4

• y-intercept is 2

• b is the y-intercept

Slope-Intercept Form

• What is the slope in the equation, 5y + 10 = −2x

• separate 5y

• 5y= -2x-10, divide both sides by a 5

•  $\frac{5y}{5}=\frac{-2x-10}{5}$  

• y= $-\frac{2}{5}x\ -2$  

Multiple Choice

The correct slope-intercept form of the equation,

5y + 10 = −2x is

• 5y=-2x +10

• 5y= -2x -10

• y= -2/5x -2

• y= -5/2x+2

Multiple Choice

What is the slope of the equation 5y + 10 = −2x

• 2

• 5

• -2/5

• -2

Multiple Choice

Given slope=5 and y-intercept=2, which is the correct slope-intercept form?

• y=5x + b

• y= 5x + 2

• y= 2x + 5

• y+ 5x -2