Question

Indicate in standard form the equation of the line through the given points.

P(0, -4), Q(5, 1)

Enter your answer into the blank equation box.

Answer 1

You're offline, so I'll just do this
Firstly, you should know that we want to find slope and y-intercept in slope intercept, adn then change it to standard form
Slope intercept form: y=mx+b
Standard form: ax + by=c

And so, to first calculate the slope, we'll do

Answer 2

So we plug
P(0, -4), Q(5, 1) in
\[\frac{ 1-(-4) }{ 5-0 }\] we can simplify this to \[\frac{ 5 }{ 5 } = 1
So, slope is 1

Answer 3

y=mx+b
m is slope, so y=x+b
Now we have
P(0, -4), Q(5, 1)
We can choose one of the two to put into the equation y=x+b to find b, we can use the first for this one
(0,-4)
-4 = a+b
b=-4

Answer 4

So we know that the slope intercept form of htis is
y=x-4

Answer 5

So now we convert this to standard form: ax+by=c

We can just but the x to the left, and get
-x + y = -4

Answer 6

Thank you bro....i wish i was online when u did this but i thought nobody would even help me. But thanks bro