Question

I need help with this is khan academy

Answer 1

y-intercept=32

Explanation:

You can find the y-intercept using the slope-intercept form:

`y=mx+b`

M is the slope and b is the y-intercept. To find the y-intercept, first find the slope. Take two of the points from the table (x,y) and use the slope formula:

`(64,12)(48,17)\\\\(y_(2)-y_(1))/(x_(2)-x_(1)) =(rise)/(run)`

Rise over run is the change in the y-axis over the change in the x-axis:

`(64(x_(1)),12(y_(1)))\\(48(x_(2)),17(y_(2)))`

`(17-12)/(48-64)= (5)/(-16)=-(5)/(16)`

Now that we have the slope, insert into the equation:

`y=-(5)/(16) x+b`

Take a point from the table and insert into the x and y values:

`(64_(x),12_(y))\\\\12=-(5)/(16)(64)+b`

Solve for b. Simplify parentheses:

`-(5)/(16)*(64)/(1)=-(320)/(16)=-20`

`12=-20+b`

Add 20 to both sides to isolate b:

`20+12=-20+20+b\\32=b\\b=32`

If b equals 32, then the y-intercept is 32.**

Finito.

**The y-intercept is where x is equal to 0 (0,32)

Answer 2

Explanation:

It's 500 so yeah there you go