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nalin [4]
3 years ago
12

Find the slope and the y-intercept of the following graph

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

The slope of the graph is 5, and the y-intercept is (0, -3).

Step-by-step explanation:

Let's start by finding the y-intercept.

The y-intercept is the point where the line intercepts the y-axis.

Looking at the graph, we can determine that the y-intercept is (0, -3).

The slope of a graph can be found using two points on the line.

Let's use (0, -3) and (1, 2):

Slope=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-3)}{1-0}=\frac{5}{1}=5

Therefore the slope of the graph is 5, and the y-intercept is (0, -3).

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Graph a line with a slope of -3 that contains the point (4, -2)
Crank

Answer:

Step-by-step explanation:

Given that

Slope m=-3

A point (x, y)=(4,-2)

Equation of a line can generally be written as

y=mx+c

Where, m is the slope

And c is the intercept on y-axis

Since we are given m=-3

Then, y=mx+c becomes

y=-3x+c

To get c, let substitute the point given, i.e x=4 and y=-2

y=-3x+c

-2=-3(4)+c

-2=-12+c

-2+12=c

c=-2+12

c=10

y=mx+c, then m=-3 and c=10

Then, the equation the line becomes y = -3x + 10

This is the required line equation

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
A retangle has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the retangle
s344n2d4d5 [400]

Answer: Length = 15 meters

Width = 2 meters

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where l = length

w = width

Therefore,

2l + 2w = 34 ...... i

l × w = 30 ........ ii

From equation i

2l + 2w = 34

Divide through by 2.

l + w = 17 ...... iii

Then, l = 17 - w ........ iv

Put equation iv into ii

l × w = 30

(17 - w) × w = 30

17w - w² = 30

w² - 17w + 30 = 0

w² - 15w - 2w + 30 = 0

w(w - 15) - 2(w - 15) = 0

(w - 2) = 0

w = 0 + 2 = 2

w - 15 = 0

w = 0 + 15 = 15

Length = 15 meters

Width = 2 meters

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Step-by-step explanation:

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