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madreJ [45]
3 years ago
15

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.

Mathematics
1 answer:
docker41 [41]3 years ago
7 0

Answer:

m= 2

b=9

Step-by-step explanation:

-4, 1 -3,3

put it into y2-x2 divided by y1-x1

y2= 3

x2= 1

y1= -3

x1=-4

3-1 divided by -4--3= 2/1    =2x

get one of the points either -4,1 or -3,3

If you use -4,1    -4=x 1=y

put it into y=mx+b and you get 1= -4(2)+b    simplify

1=-8+b add 8 to other side b=9

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Answer:

Option C: y=-1/2x + 8

Step-by-step explanation:

So we have the options:

A) y=2x+5

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But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.

So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y

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Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer

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Step-by-step explanation:

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Step-by-step explanation:

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