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Advocard [28]
2 years ago
8

Which is the correct slope-intercept equation for a line that passes through the points (1,-3) and (-3,17)

Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer:

y=-5x+2

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

<u>1) Determine the slope (m)</u>

<u />m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

Plug in the given points (1,-3) and (-3,17)

=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5

Therefore the slope of the line is -5. Plug this into y=mx+b:

y=-5x+b

<u>2) Determine the y-intercept (b)</u>

y=-5x+b

Plug in one of the given points and solve for b

-3=-5(1)+b\\-3=-5+b

Add 5 to both sides of the equation to isolate b

-3+5=-5+b+5\\2=b

Therefore, the y-intercept of the equation is 2. Plug this back into y=-5x+b:

y=-5x+2

I hope this helps!

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Miles earns a 6% commission on each vehicle
slamgirl [31]

The total amount of his  commission for these vehicles is $ 1686

<em><u>Solution:</u></em>

Given that,

Miles earns a 6% commission on each vehicle  he sells

Therefore,

Commission rate = 6 %

Today he sold a truck for $18,500 and a  car for $9,600

Therefore,

Commission amount = 6 % of (18500 + 9600)

Commission amount = 6 % of 28100

Calculate the above equation

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1<br> Find the value of x.<br> 117°<br> 1940<br> to
Artyom0805 [142]
The value of x is 83
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2 years ago
16. Find the value of y. ​
devlian [24]

y + (2x -12) = 180 (since they are supplementary angles)

(2x-12) = 96 ( since they are alternate exterior angle)

2x = 96 + 12

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y+(2× 54 -12) = 180

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y + 96 = 180

y= 180-96

y = 84.

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