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Fynjy0 [20]
3 years ago
7

In slope-intercept form, what is the equation of the line passing through the points (−2, 19) and (5, −9)? y = −4x − 11 y = −4x

+ 11 y = −4x + 3
Mathematics
2 answers:
scoray [572]3 years ago
8 0

For this case we have that the slope of a line is given by:

m = \frac {y2-y1} {x2-x1}

We have the following points:

(x1, y1) = (- 2,19)\\(x2, y2) = (5, -9)

Substituting:

m = \frac {-9-19} {5 - (- 2)}\\m = \frac {-28} {5 + 2}\\m = \frac {-28} {7}\\m = -4

Thus, the slope-intercept form equation is given by:

y = -4x + b

We substitute any of the points to find the cut point with the y axis.

-9 = -4 (5) + b\\-9 = -20 + b\\b = -9 + 20\\b = 11

So, we have:

y = -4x + 11

Answer:

Option B

lions [1.4K]3 years ago
7 0

Answer:

y = -4x + 11

Step-by-step explanation:

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