Question

What's an equation of the line with a slope of -5 and a y-intercept of (0,3)

Answer 1

the "slope intercept" form is
\[y=mx+b\] in your case \(m=-5,b=3\)

Answer 2

put them directly in to the formula to get your answer
okay with this?

Answer 3

What does x represent in this equation?

Answer 4

\(x\) is a variable
there is an \(x\) in your answer

Answer 5

just like before when you had to find the range of \(y=3x-2\) for different values of \(x\)
the \(x\) can be any number

Answer 6

in this case if you put \(m=-5\) and \(b=3\) you get a similar equation
\[y=-5x+3\]

Answer 7

so for example if \(x=2\) you would get \(y=-5\times 2+3=-10+3=-7\) telling you that te point \((2,-7)\) is on the graph

Answer 8

@satellite73 What if my problem is like this....
Write the equation of the line passing through the points (0, -4) and (-2, 2).

Answer 9

then you have to find the slope first

Answer 10

\[m=\frac{-4-2}{0-(-2)}=\frac{-6}{2}=-3\]

Answer 11

now you already have the \(y\) intercept is \(-4\) because you are told \((0,-4)\) is on the graph

Answer 12

use
\[y=mx+b\] with \(m=-3,b=-4\)

Answer 13

y=-3x-4

Answer 14

yes

Answer 15

I think I got the hang of this... once again thank you so much @satellite73. You've been the best!

Answer 16

you are quite welcome