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3 years ago

Show a graph Slope function of -1 with a y intercept of 3

Mathematics

1 answer:

castortr0y [4]3 years ago

6 0

Answer:

<h2>In the attachment.</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

We have m = -1 and b = 3. Substitute:

$y=-1x+b\to y=-x+3$

The graph is a straight line. Therefore we need only two points to plotting the graph.

One we have, the y-intercept (0, 3). Calculate other point.

Put any value of x to the equation of a line and calculate the value of y:

For x = 3:

$y=-3+3=0\to(3,\ 0)$

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The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of

Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0

3 years ago

Please give me the right answer

ivann1987 [24]

Answer:j

Step-by-step explanation:

If it’s closed it would be greater than -2 but since it’s open it’s equal or greater than

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3 years ago

7. The points (3,5) and (2, y) are on a line with a slope of 3. Find y.

PtichkaEL [24]

Answer:

We get value of y: y = 2

Step-by-step explanation:

The points (3,5) and (2, y) are on a line with a slope of 3. Find y.

We can find y using formula of finding slope of a line.

The formula is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=3, y_1=5, x_2=2, y_2=y$ and Slope = 3

Putting values and finding y

$Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2$

So, we get value of y: y = 2

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