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2 years ago

Find the equation of a line through the point (-1,4)and parallel to the line whose equation is 2x-y=3

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

7 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

You can first isolate the "y" in the given equation

2x - y = 3 Subtract 2x on both sides

-y = 3 - 2x Divide -1 on both sides to get "y" by itself

y = -3 + 2x or y = 2x - 3

For lines to be parallel, their slopes have to be the same.

The given line's slope is 2, so the parallel line's slope is also 2.

y= mx + b

y = 2x + b

To find "b", plug in the point (-1,4) into the equation

y = 2x + b

4 = 2(-1) + b

4 = -2 + b Add 2 on both sides

6 = b

y = 2x + 6

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Please, I need help ASAP! Which of the following shows the true solution to the logarithmic equation mc019-1.jpg

bekas [8.4K]

X = 1 is the correct answer.
Using the log properties, remember that Log(base2)2 = 1

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divide both sides by 3
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3 0

3 years ago

The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3 are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , equate the given function with 0, we have ;

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

3 0

3 years ago

Make a table of values and create a line of best fit

Anni [7]

<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

$\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}$

As you can see, x increases in steps of 1 units. So let's check the difference in y:

$\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2$

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

$y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope$

Then:

$k=\frac{2-0}{1-0}=2$

Finally, the equation of the line is:

$\boxed{y=2x}$

4 0

2 years ago

331 students went on a field trip. Six buses

slamgirl [31]

54 students in each bus.

Step#1 Subtract 7 from the total of students, the answer is 324
Step#2 Divide 324 by 6, the answer is 54

Therefore the answer is 54 students, hope that helped.

8 0

3 years ago

Change mixed fraction to improper fraction.

Andreas93 [3]

Answer:

2 3/4 = 11 /4

8 2/3 = 26/3

2 1/2 = 5/2

7 0

2 years ago

Read 2 more answers