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horsena [70]
3 years ago
8

A line passes through the points (4,8) and (2,0). What is its equation in slope-intercept form?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

The answer is y = 4x - 8.

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{0 - 8}{2 - 4}  =  \frac{ - 8}{ - 2}  = 4

---

☆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 \\ 8 = 4(4) + b \\ 8 = 16 + b \\   \frac{ - 16 =  - 16 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{ - 8 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

---

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

y = 4x - 8

▪Happy To Help <3

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