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1 year ago

Write the equation of the line with a slope of 3/4 and a y'-intercept of -7 in Slope-Intercept and Poin Slope Form.

Mathematics

1 answer:

Shtirlitz [24]1 year ago

4 0

Slope intercept form: y = 3/4 x - 7
Point slope form: y + 7 = 3/4 (x+0)

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Please help I’m really struggling with this

JulijaS [17]

Answer:

$y=\frac{1}{3} x+4$

Step-by-step explanation:

A linear equation is written as $y=mx+b$ , "m" being the slope and "b" being the y-intercept.

The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.

The y-intercept is where the graph lands on the y-axis, which is 4.

8 0

3 years ago

Read 2 more answers

Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

NeTakaya

We have been given that Layana’s house is located at $(2\frac{2}{3}, 7\frac{1}{3})$ on a map. The store where she works is located at $(-1\frac{1}{3}, 7\frac{1}{3})$ .

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

$2\frac{2}{3}\Rightarrow \frac{8}{3}$

$7\frac{1}{3}\Rightarrow \frac{22}{3}$

$-1\frac{1}{3}\Rightarrow -\frac{4}{3}$

Now we will use distance formula to solve our given problem.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of our given point in above formula, we will get:

$D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}$

$D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}$

$D=\sqrt{0+(\frac{8+4}{3})^2}$

$D=\sqrt{(\frac{12}{3})^2}$

$D=\sqrt{(4)^2}$

$D=4$

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

3 0

3 years ago

Read 2 more answers

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

goldenfox [79]

Answer:

2(6.3) + b = 15.7

12.6 + b = 15.7

b = 3.1

3 0

3 years ago

Can someone help!!!!!!!!!!!!!!!!!!!!!!!!!!!

just olya [345]

Answer: A. and D.

Step-by-step explanation: Sorry if its wrong but that sounds right. The first week comes before the second week.

3 0

3 years ago

I'm trying to rearange this equation so that t is the subject and i need help

gregori [183]

Work backwards.

s=ut+(at^2)/2

Subtract ut.

s-ut=(at^2)/2

Multiply by 2.

2(s-ut)=at^2

Divide by a.

2(s-ut)/a=t^2

Find the square root:

$\sqrt{2(s-ut)/a}=t$

6 0

3 years ago