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 )

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )