Answer: 4x+y = 11
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Explanation:
The point slope form is
[tex]y-y_1 = m(x-x_1)\\\\[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is a point on the line
We have this given info
[tex]m = -4[/tex]
[tex]x_1 = 2[/tex]
[tex]y_1 = 3[/tex]
Which means....
[tex]y-y_1 = m(x-x_1)\\\\y-3 = -4(x-2)\\\\y-3 = -4x+8\\\\y = -4x+8+3\\\\y = -4x+11\\\\[/tex]
That last equation is in slope intercept form y = mx+b
Standard form is Ax+By = C. Let's add 4x to both sides
[tex]y = -4x+11\\\\y+4x = 11\\\\4x+y = 11[/tex]
This equation is in standard form Ax+By = C
A = 4
B = 1
C = 11
