Mathematics, 25.02.2021 19:40 coolmonkey3643

With slope –1/4, passing through (-4, -1)

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Answer from: qloc

$y = -\frac{1}{4}x - 2$

Step-by-step explanation:

i'm not sure if you're trying to find the equation of the line ?? but i'll assume that's the case and find the slope-intercept form equation of the line.

slope intercept form is y = mx + b , where is the slope and is the y-intercept. since the slope is already identified, you can plug in $-\frac{1}{4}$ for .

⇒ $y = -\frac{1}{4}x+b$

plug in the and values from the coordinate pair that passes through the line, which is (-4, -1). you can start with either or , but i'm going to start with .

first, plug in for .

$y = -\frac{1}{4}x+b$ ⇒ $y = -\frac{1}{4}(-4)+b$

now plug in for .

$y = -\frac{1}{4}(-4)+b$ ⇒ $-1 = -\frac{1}{4}(-4)+b$

after plugging in all of the given values, the equation is now $-1 = -\frac{1}{4}(-4)+b$ , in which you need to solve for .

now it's time to solve! begin by multiplying $-\frac{1}{4}(-4)$ in order to simplify the right side of the equation.

$-\frac{1}{4}(-4) = 1$

you now have -1 = 1 + b . subtract 1 from both sides of the equation. on the right side, it cancels itself out, leaving you with . on the left side of the equation, you now have -1 - 1 , which equals .

therefore -2 = b , or b = -2 .

now that you've solved for your value, plug it into your initial slope-intercept form equation!

$y = -\frac{1}{4}x + b$ ⇒ $y = -\frac{1}{4}x - 2$

if you want to check to make sure that the values are correct, plug (-4, -1) into your completed slope-intercept form equation. as you did in the beginning, plug in for and for .

$y = -\frac{1}{4}x - 2$ ⇒ $-1 = -\frac{1}{4}(-4) - 2$

begin simplifying by multiplying $-\frac{1}{4}(-4)$ .

$-1 = -\frac{1}{4}(-4) - 2$ ⇒ -1 = 1 - 2

subtract 1 - 2 .

⇒

since both sides of the equation are equal, that means your value of is correct because it makes the equation true!

aaaand there you go! i hope this helps. have a great day! <3

Answer from: Quest

The point (5, 10) will work for the rule y=x+5.y= 10 x= 510=5+510=10therefore the ordered pair (5, 10) works for the rule

Answer from: Quest

which would be true for stem changing verbs?

they have a consistent spelling change in the stem of the verb.

what is different about the verb “venir” as compared to other stem-changing verbs?

only the third person forms have a stem change.

which of the following could not be considered a “stem-changing” verb?

querer

which of the following would not be condsidered an event?

desfile

what word could be used in response to the following?

¿qué quieres comprar?

quero

what word could be used in response to the following?

¿dónde uds. pueden ir?

vamos

ellos ir al centro comercial.

yo comprar un vestido.

pedimos

dónde tú?

dormes

step-by-step explanation:

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