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Molodets [167]
3 years ago
15

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0
The slope-intercept form of a line is:
y - yo = m(x - xo)
Where m is the slope and (xo,yo)=(4,1/3)

y -  \frac{1}{3}  =  \frac{3}{4} (x - 4)
y -  \frac{1}{3}  =  \frac{3}{4} x - 3
y =  \frac{3}{4} x -  \frac{8}{3}
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1. Write an equation for a line that has a slope of 4 and passes
marishachu [46]

Answer:

y = 4x+23

Step-by-step explanation:

The slope intercept form of a line is

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

y = 4x+b

Substitute the point into the equation

7 = 4(-4)+b

7 = -16+b

Add 16 to each side

7+16 = b

23 = b

y = 4x+23

8 0
3 years ago
PLEASE HELP WITH MATHH
Scorpion4ik [409]

Answer:

i think the answer is 76cm im pretty sure it is

Step-by-step explanation:

if so mark this as brainliest answer!!!

5 0
3 years ago
I need help please.
sweet-ann [11.9K]

Answer:

<u>Third Option</u>: y = \frac{5}{4}x

Step-by-step explanation:

Given the points on the graph, (4, 5) and (-4, -5):

In order to determine the equation of the given graph in slope-intercept form, y = mx + b:

Use the given points to solve for the slope:

Let (x₁, y₁) = (-4, -5)

(x₂, y₂) = (4, 5)

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{5 - (5)}{4 - (-4)}  = \frac{5 + 5}{4 + 4}  = \frac{10}{8} = \frac{5}{4}

Therefore, the slope of the line is: m = \frac{5}{4}.

Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:

y = mx + b

5 = \frac{5}{4} (4) + b

5 = 5 + b

5 - 5 = 5 - 5 + b

0 = b

Therefore, the linear equation in slope-intercept form is: y = \frac{5}{4}x.  The correct answer is Option 3.

8 0
3 years ago
I REALLY NEED HELP!
anastassius [24]

\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3700\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &7 \end{cases} \\\\\\ A=3700e^{0.045\cdot 7}\implies A=3700e^{0.315}\implies A\approx 5069.96

8 0
3 years ago
Read 2 more answers
How to solve it in quadratic functions
natita [175]

Answer:

x = 2

x = -3/2 or -1.5

Step-by-step explanation:

For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!

First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.

The equation becomes:

x² - x - 6(2) = 0

x² - x - 12 = 0

Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).

Automatically, think of 3 and 4, because the difference between them is 1.

The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.

This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".

It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)

With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.

6 0
3 years ago
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