Question

Identify the x and y-intercepts and the slope of the linear function, -3x+4y=24 *

A. x-intercept= -8, y-intercept= 6, m= -3
B. x-intercept= -8, y-intercept= 6, m= 3/4
C. x-intercept= -3, y-intercept= 4, m= -3
D. x-intercept= -3, y-intercept= 4, m= 3/4

Answer 1

Hey there,

The x and the y-intercepts are when the x and the y values are at 0. But the first step would have to be re-writing the equation into slope intercept form:

• y = $\frac{3}{4}$ x + 6

Now using this equation you know that the slope is $\frac{3}{4}$ and the y-intercept is 6.

To find the x-intercept we plug in 0 for y and solve for x:

• you should get -8 as the x-intercept

The answer would have to be B.

Hope I helped,

Amna

Answer 2

Answer:

we can rewrite the function as

4y = 3x +24

(this is done by adding 3x on each side of the equation)

now let's devide both sides by 4

(whatever operation we want to do, it must be done on both sides so that everything is still the same value

y = 3/4x + 6

for each step in x-positive direction we go 3/4 step in y-positive direction.

It is obvious in this form.

m=3/4

we can now see that y-intercept is 6

(changing x to 0 gives

y=3/4*0 +6

y=6)

note: the y-intercept is at x=0 and vice versa)

(0|6)

the x intercept is found by setting y=0

so let's do this

0=3/4 x+6 multiply by 4 on both sides

0=3x+24 devide by 3 on both sides

0=x+8 subtract by 8 on both sides

-8=x

so the x-intercept is at -8

(-8|0)

In conclusion, B is correct

Have a nice day

Brainliest would be appreciated

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