Question

Graph the equation y+5=-2(x-4)

Answer 1

see picture

Explanation:

point slope form of an equation is

y-y1 = m(x-x1)

y+5=-2(x-4)

y--5 = -2 (x-4)

we have a point (4,-5) and a slope -2

y+5 = -2(x-4)

distribute

y+5 = -2x+8

subtract 5 from each side

y = -2x+3

now we have the y intercept

(0,3)

Answer 2

y = -2x + 3 ; See attached picture

Explanation:

First, change the equation to the form y = mx + b. Remember to follow PEMDAS.

First, distribute -2 to all term within the parnthesis.

y + 5 = -2(x - 4)

y + 5 = -2(x) - 2(-4)

y + 5 = -2x + 8

Next, isolate the y. Subtract 5 from both sides

y + 5 (-5) = -2x + 8 (-5)

y = -2x + 8 - 5

y = -2x + 3

Graph the following equation => see attached picture

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