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svp [43]
2 years ago
7

If a line passes through the points (2,2) and (4,5), the equation of the line is 2=3/2(x-__)?

Mathematics
1 answer:
andre [41]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = \frac{5-2}{4-2} = \frac{3}{2}

use either of the 2 points for (a, b)

Using (a, b) = (2, 2), then

y - 2 = \frac{3}{2}(x - 2) ← equation of line

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2 points
miskamm [114]

The x - intercept of 5x - 3y = 15 is (3, 0)

The y -intercept of 5x - 3y = 15 is (0, -5)

<h3><u>Solution:</u></h3>

Given equation is 5x - 3y = 15

<em><u>To find: x - intercept and y -intercept</u></em>

The x intercept is the point where the line crosses the x axis. At this point y = 0

The y intercept is the point where the line crosses the y axis. At this point x = 0.

<em><u>Finding x - intercept:</u></em>

To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x

So put y = 0 in given equation

5x - 3(0) = 15

5x = 15

x = 3

So the x - intercept is (3, 0)

<em><u>Finding y - intercept:</u></em>

To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y

So put x = 0 in given equation

5(0) - 3y = 15

-3y = 15

y = -5

So the y - intercept is (0, -5)

5 0
3 years ago
"EXPLAIN PLEASE" Which equation does the graph below represent
ch4aika [34]
The answer to your problem is A due to the slope of your line being -1/3x.

You can find this slope by picking two points on your graph [i.e. (-1,3) and (0,0)].

Find the difference between the two points, which is a one for the x value and a three for the y values. Now you have a slope of 1/3.

But wait! The slope is downwards, therefore a negative must be applied to your slope.

This provides you with a slope of -1/3x, therefore:

y = -1/3x
7 0
3 years ago
6th grade math plz help
ella [17]

Answer:

The question needs more information but you can see that all the numbers in the 1st column are multiplied by 6 to equal the number in column 2

Step-by-step explanation:

3 x6 =18

6 x 6= 36

9 x6= 54

12 x6 =72

6 0
2 years ago
Find the value of y when x equals -1.<br><br> 8x - 2y =10
Artyom0805 [142]

Answer:

y = - 9

Step-by-step explanation:

Substitute in -1 for x

8(-1) - 2y = 10

-8 - 2y = 10

Subtract -8 from both sides

-8 - (-8) cancels out to 0

10 - (-8) = 18

We are left with:

-2y = 18

Divide by -2 on both sides.

-2y/-2 = y

18/-2 = -9

y = -9

6 0
2 years ago
Anyone help me, please I need help<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20-%205%7D%20%20%3D%20%208%20%5Csqrt%5B%5
Ilya [14]

Answer:

No Real Solutions.

Step-by-step explanation:

√(x-5)=8√(x-2)

Square on both sides,

(√(x-5))^2=(8√(x-2))^2

or,(x-5)=64(x-2)

or,x-5=64x-128

or,-5+128=64x-x

or,123/63=x

Therefore, x=41/21

If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.

7 0
3 years ago
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