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2 years ago

What is the y- intercept of a line that goes through the points (3,-2)& has a slope of -4?

Mathematics

1 answer:

Liula [17]2 years ago

6 0

Answer:

Y-intercept = 10

Step-by-step explanation:

Point (3, - 2)

y-intercept = -2 - (-4)(3)

= - 2 - - 12

= - 2 + 12 = 10

y = -4x + 10

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What is the equation of this graphed line?

barxatty [35]

Answer:

$y=-\frac{1}{3}x-5$

Step-by-step explanation:

Given:

The two points on the line are:

$(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)$

Now, for a line with two points on it, the slope of the line is given as:

$m=\frac{y_2-y_1}{x_2-x_1}$

For the points $(x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7)$ , slope is:

$m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}$

Now, for a line with slope 'm' and a point $(x_1,y_1)$ on it is given as:

$y-y_1=m(x-x_1)$

Plug in all the values and determine the equation of the line. This gives,

$y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5$

Therefore, the equation of the line is:

$y=-\frac{1}{3}x-5$

4 0

3 years ago

Marisol buys 3 pounds of cheese and 3 pounds of sausage for a total cost of $36. The sausage costs $2.00 less per pound than the

Andreas93 [3]

Answer:

The answer is 1pound of cheese is 7$ and the sausage is 5$

Step-by-step explanation:

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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

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Flauer [41]

Answer:

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Step-by-step explanation:

You have to have a common denominator

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vekshin1

10 in = A of triangle so 35+10 = 45

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4 years ago

Read 2 more answers