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2 years ago

Which is the equation in slope-intercept form of the line that contains points E and F?

Mathematics

2 answers:

lys-0071 [83]2 years ago

8 0

Answer:

C. y = 4x - 12

Step-by-step explanation:

The coordinates of E and F are:

E(4, 4) and F(2, -4)

Find the slope:

m = (- 4 - 4)/(2 - 4) = - 8 / - 2 = 4

Use point-slope form and point E:

y - 4 = 4(x - 4)

Convert into slope-intercept form:

y = 4x - 16 + 4
y = 4x - 12

The matching choice is C

Viefleur [7K]2 years ago

4 0

F(3,-4)
E(4,4)

Equation in two points form

$\\ \tt\longmapsto y+4=\dfrac{4+4}{4-3}(x-3)$

$\\ \tt\longmapsto y+4=8(x-3)$

$\\ \tt\longmapsto y+4=8x-24$

$\\ \tt\longmapsto 8x-y=28$

Convert to y=mx+b form

$\\ \tt\longmapsto y=8x-28$

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