83.1k views
7 votes
(2,3), m = -4

I need to write it in standard form

User Crbast
by
7.6k points

2 Answers

7 votes

Answer: 4x+y = 11

=========================================================

Step-by-step explanation:

The point slope form is


y-y_1 = m(x-x_1)\\\\

where m is the slope and
(x_1,y_1) is a point on the line

We have this given info


m = -4


x_1 = 2


y_1 = 3

Which means....


y-y_1 = m(x-x_1)\\\\y-3 = -4(x-2)\\\\y-3 = -4x+8\\\\y = -4x+8+3\\\\y = -4x+11\\\\

That last equation is in slope intercept form y = mx+b

Standard form is Ax+By = C. Let's add 4x to both sides


y = -4x+11\\\\y+4x = 11\\\\4x+y = 11

This equation is in standard form Ax+By = C

A = 4

B = 1

C = 11

User NBoymanns
by
8.1k points
5 votes

Answer:

4x +y = 11

Step-by-step explanation:


y - y_(1)=m(x-x_(1))

y - 3 = -4(x - 2)

y - 3 = -4x + 8

4x + y -3 = 8

4x + y = 8+3

4x + y = 11

User Ygrichman
by
8.1k points

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