4 years ago

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics

1 answer:

Vera_Pavlovna [14]4 years ago

8 0

Point slope form: y-y1=m(x-x1)

Using this: (-10,-6); m = -5/8

We can format the information like this: y+6=-5/8(x+10)

Answer: C

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7. Write the equation of a line which passes through the points (-3,5) and (6,23)

faust18 [17]

Answer:

answer to the equation is

$y = 2x + 11$

Step-by-step explanation:

$y = mx + b$

first find the slope of the line using the two points

$slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2$

substitute 2 for m and use one of the points for x and y and solve for b

$5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11$

Now that you found b, the y-intercept, you can substitute that into the equation for your line

$y = 2x + 11$

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3 years ago

Can you help me <br> 3(x+2)=2(x+5)

anzhelika [568]

Answer: x = 4

Step-by-step explanation:

3(x+2)=2(x+5)

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Paha777 [63]

The graph would shift 5 units left and 3 units up.

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