Question

I need help with this is khan academy

Answer 1

Answer:

Step-by-step explanation:

It's 500 so yeah there you go

Answer 2

Answer:

y-intercept=32

Step-by-step 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:

$(64,12)(48,17)\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

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

$(64(x_{1}),12(y_{1}))\\(48(x_{2}),17(y_{2}))$

$\frac{17-12}{48-64}= \frac{5}{-16}=-\frac{5}{16}$

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

$y=-\frac{5}{16} x+b$

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

$(64_{x},12_{y})\\\\12=-\frac{5}{16}(64)+b$

Solve for b. Simplify parentheses:

$-\frac{5}{16}*\frac{64}{1}=-\frac{320}{16}=-20$

$12=-20+b$

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)