If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?

13

Step-by-step explanation:

This is my first time posting, so sorry if this isn't that clear.

Anyways:

We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.

We can find the x-intercept by plugging in 0 as y. So:

x/4+0/12=1

x/4=1

x=4

a=4 (since a is equal to the x-intercept.)

We can find the y intercept by plugging in x as 0:

0/4+y/12=1

y/12=1

y=12

b=12

We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.

So, 12+4-3=13.

(In case you didn't know how I got y=-3x+12. This is how:

x/4+y/12=1

12(x/4+y/12)=1(12)

3x+y=12

y=-3x+12 )

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

step-by-step explanation: