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fomenos
2 years ago
14

What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?

Mathematics
1 answer:
Ede4ka [16]2 years ago
5 0

Answer:

The answer is y = 6x + 9.

-

Step-by-step explanation:

☆Remember: m =  \frac{y_2 - y_1}{x_2 - x_1}

☆Slope-intercept: y = mx + b

---

☆We need to find the slope first. So just plug in according to the slope formula!

m =  \frac{ - 3 - 3}{ - 2 - ( - 1)}  =  \frac{ - 6}{ - 1}  = 6

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

y = mx + b \\ 3 = 6( -1 ) + b \\ 3 =  - 6 + b \\  \frac{ + 6 =  + 6 \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{9 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

---

☆Now all we need to do is plug in and we are done!

y = 6x + 9

▪Happy To Help <3

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