Mathematics, 13.07.2019 22:10 pluto82

Write the equation of the line that passes through the points (0, -6) and (-4, 0).
show how you arrived at your answer.
what would be the equation? i’m confused. .

Answers: 2

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Answer from: logan797

The slope is -3/2.

Step-by-step explanation:

Hint: slope formula:

$\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{rise}{run}$

$\displaystyle \frac{0-(-6)}{(-4)-0}=\frac{6}{-4}=\frac{6\div2}{-4\div2}=\frac{3}{-2}=-\frac{3}{2}$

$\Large \textnormal{Therefore, the slope is -3/2.}$

Answer from: Jefferson09

y=(-3/2)x+-6

y=(-3/2)x-6

Step-by-step explanation:

We are going to use slope-intercept form to find the equation for this line.

y=mx+b is slope-intercept form where m is the slope and b is the y-intercept.

y-intercept means where it crosses the y-axis; the x will be 0 here. Look the question gives us the y-intercept which is -6.

So we already know b which is -6.

y=mx+-6

Instead of finding the slope using the slope formula which you could.

I'm going to plug in the point (-4,0) into y=mx+-6 to find m.

So replace x with -4 and y with 0 giving you:

0=m(-4)+-6

0=-4m-6

Add 6 on both sides:

6=-4m

Divide both sides by -4:

6/-4=m

Reduce the fraction:

-3/2=m

The slope is -3/2.

Again you could use the slope formula which says $m=\frac{y_2-y_1}{x_2-x_1} \text{ where } (x_1,y_1) \text{ and } (x_2,y_2) \text{ are points on the line}$ .

This is the same thing as lining the points up vertically and subtracting the points vertically then putting 2nd difference over first difference. Like this:

( 0 , -6)

-( -4 , 0)

---------------

4 -6

The slope is -6/4 which is what we got doing it the other way.

So the equation with m=-3/2 and b=-6 in y=mx+b form is

y=(-3/2)x+-6

y=(-3/2)x-6

Answer from: Quest

answer: b.

step-by-step explanation:

it is b. cause the equations are put in the right category

Iknow the square root of 2 is irrational

Answer from: Quest

b: |12 – x| ≤ 0.25

step-by-step explanation:

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

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Write the equation of the line that passes through the points (0, -6) and (-4, 0).
show how yo...