+0  
 
+1
85
1
avatar+321 

A line containing the points $(2, 16)$ and $(-8, -4)$ intersects the $y$-axis at what point?

 Jul 4, 2020
 #1
avatar+781 
+1

We use the given points to write an equation in slope intercept form. Using the slope formula, the slope is 2. We now have y=2x+b. We can plug in either point into the equation to determine b. We plug in (2, 16).

 

y=2x+b

16=2(2)+b

16=4+b

b=12

 

Since b represents the y intercept, then the point intersecting the y axis is (0, 12).

 Jul 4, 2020

22 Online Users

avatar
avatar