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gayaneshka [121]
3 years ago
11

Which equation represents a line that passes through (4, 5) and has a slope of ?

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0

Answer:

B

Step-by-step explanation:

To find the answer, we can use the point-slope form:

y-y_1=m(x-x_1)

Where (x₁, y₁) is a point and m is our slope.

Let's let our point (4, 1/3) be (x₁, y₁) respectively.

We also know that our slope is 3/4. So, substitute 3/4 for m.

This yields:

y-\frac{1}{3}=\frac{3}{4}(x-4)

The choice that represents this is B.

So, our correct answer is B.

And we're done!

jenyasd209 [6]3 years ago
5 0
<h3>Answer:</h3>

y -  \frac{1}{3}  =  \frac{3}{4} (x - 4)

<h3>Step-by-step explanation:</h3>

Given the line passes through (4, 1/3) and it's slope is 3/4

y = mx + c

slope =  m

m =  \frac{3}{4}

y =  \frac{3}{4} x + c

At (4, 1/3)

\frac{1}{3}  =  \frac{3}{4} (4) + c

c =  -  \frac{8}{3}

y - intercept =  -  \frac{8}{3}

The equation of the line:

y =  \frac{3}{4} x -  \frac{8}{3}

The answer is:

y -  \frac{1}{3}  =  \frac{3}{4} (x - 4)

*if you expand the equation above you will get the equation of line you initially got*

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