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choli [55]
3 years ago
10

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

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

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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