Slope Intercept Form

Slope Intercept Form

Imagine Foundations @ Leeland

Slope Intercept Form, y = mx + b

the "slope intercept form" of a line is a convenient way to identify the slope and y - intercept (the point where the line and y axis intersect)

y = mx + b

The slope intercept equation is comprised of two constant terms, namely m and b

y = mx + b

we identify the "m" term to be our slope or rise over run, while the "b" term represents the intersection of the line with the y axis

Multiple Select

 $Which\ of\ the\ following\ equations\ are\ in\ slope\ intercept\ form?$  

• $y\ =\ 4x\ +\ \left(-6\right)$

• $y\ =\ 4\ +\ 9x$

• $\frac{2}{9}x\ =\ y\ -3$

•  $y\ =\ x^{ }$ 

• $y\ =\ \frac{-3}{6}x\ +\ 5$

 $y\ =\ \frac{3}{5}x\ +\ 7$  

• m = 3/5, this is our slope

• b = 7, this our y - intercept

Multiple Choice

 $What\ is\ the\ slope\ of\ the\ following\ equation\ y\ =\ -7x\ +\ 5?$  

• -7

• 5

Multiple Choice

 $What\ is\ the\ y-intercept\ of\ the\ following\ equation\ y=-7x+5?$  

• -7

• 5

Multiple Choice

 $What\ is\ the\ slope\ of\ the\ following\ equation\ y\ =\ -3x\ +\ 2$  

• 1/3

• 3

• -3

• 2

Multiple Choice

 $What\ is\ the\ y-int\ of\ the\ following\ equation,\ y=-\frac{3}{5}x\ -30?$  

•  $\frac{3}{5}$  

• -30

• 30

• - $\frac{3}{5}$  

Poll

How comfortable do you feel identifying slopes and y-intercepts from equations in slope intercept form?

• meh

• I am confused

• I think I get it

• Ready to move on