What is the equation of the line that has a slope of 4 and passes through the point (-1, 4)?
O y = 4x + 8
O y = 4x - 1
O y = 4x + 4

Answers

Answer 1

Answer:

y = 4x + 8

Step-by-step explanation:

Plug x = -1 into each of the equations, and see which one results in y = 4.

The first equation will be the only correct answer.

y = 4x + 8

y = -4 + 8

y = 4

Answer 2

Answer:

[tex]y=4x+8[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Here's what the variables mean:

[tex]y[/tex] = the y-coordinate

[tex]m[/tex] = the slope of the line

[tex]x[/tex] = the x-coordinate

[tex]b[/tex] = the y-intercept (the value of y where the line crosses the y-axis)

Because the slope of the line is 4, we can plug that into our equation as [tex]m[/tex]:

[tex]y=4x+b[/tex]

Now, all we have to do is solve for [tex]b[/tex], the y-intercept. We can do this by plugging the point (-1, 4) into the equation as [tex]x[/tex] and [tex]y[/tex].

[tex]4=4(-1)+b[/tex]

Solve the equation

[tex]4=4(-1)+b\\4=-4+b[/tex]

Add 4 to both sides to isolate [tex]b[/tex]

[tex]4+4=-4+b+4\\8=b[/tex]

Therefore, [tex]b[/tex], or the y-intercept, is equal to 8.

Now, when we plug the y-intercept into our equation, we get:

[tex]y=4x+8[/tex]

I hope this helps!


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Answers

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Answers

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Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

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Answers

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Identify the set of numbers that makes up the domain in the relation ((-2,-2), (0, 2), (2, 4), (3, -6)).
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Answers

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Step-by-step explanation:

Let's solve your equation step-by-step.

x2+13x+12=0

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Answer:

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Answers

Answer:

The mode are: 7, 8

Step-by-step explanation:

Given

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Step-by-step explanation:

Answer:

Step-by-step explanation:

 

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Step-by-step explanation:

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