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Otrada [13]
3 years ago
12

What is the slope and y-intercept from the table below?

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

The equation is y = -5x + 55

Slope = -5

y-intercept = 55

Step-by-step explanation:

The given table shows the different coordinates of points on a straight line.

The general equation of a line is y = mx + b

where m is the slope and b is the y intercept.

Actually , here only 2 values are needed but there are 4 values                       given which is just to check whether our line is correct or not.

Substitute values of x and y in the equation.

Put (1,50),

50 = m + b    ----------(1)

Put (2,45),

45 = 2m + b    -----------(2)

Solve (1) and (2),

Slope , m = -5

y-intercept , b = 55

Hence , the equation is y = -5x + 55.

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Find the equation of a line that passes through the point (-2,3) and has a gradient of 3.
nadya68 [22]

Answer:

y = 3x+9

Step-by-step explanation:

The standard form of equation of a line is in the form y = mx + c

m is the gradient

c is the y intercept

Get the y-intercept

Substitute m = 3 and the point (-2, 3) into the formula y = mx+c

3 = 3(-2) + c

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c = 3+6

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Get the required equation;

y = 3x + 9

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5 0
3 years ago
The sum of five consecutive numbers is 700, what is the first number?
Feliz [49]

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be <em>x.</em>

<em />

Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).

We are given that their sum is 700. Therefore:

x+(x+1)+(x+2)+(x+3)+(x+4)=700

Solve for <em>x</em>. Combine like terms:

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Subtract 10 from both sides:

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Divide both sides by five. Therefore:

x=138

The first number is 138.

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3 years ago
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