Question

Write the equation of the line in slope intercept form that passes through the two points: (1,-6) and (-3,2)

Answer 1

Answer:

y = -2x - 4

Step-by-step explanation:

Formula is y = mx + b where m is the slope and b is the y-intercept

(1, -6) (-3, 2)

$\frac{-6-2}{1-(-3)}=\frac{-8}{4} =-2$

The slope is -2

y = -2x + b

So let's find b, insert 2 for y and -3 for x to find b

2 = -2(-3) + b

2 = 6 + b

Subtract 6 from both sides to get b alone

-4 = b

We found what b equals (the y-intercept), which is -4

So, the equation is y = -2x - 4

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