Question

Input in standard form the equation of the given line.

The line that passes through (-1, -3) and (2, 1)
.

Answer 1

y=mx+b

Answer 2

the slope would be 4/3 ...i just dont know how to find the y intercept from this

Answer 3

Still here?
I'm glad you can find the slope, it's correct :)
Now you need to find the equation of the line, but that's easy.
When you have a slope \(\color{green} m\) and a point \((\color{red} a \ , \ \color{blue}b)\)

Then the equation of the line is given by...
\[\Large y = \color{green}m(x-\color{red}a)+ \color{blue} b\]

You actually have two points here, you may use any one of them for your point \((\color{red} a \ , \ \color{blue}b)\)

Answer 4

y=4/3(x+1)-3
y=4/3x + 4/3-3
y=4/3x-5/3 is this correct?

Answer 5

\[\Large y = \frac43x - \frac53\]

Yes, brilliant :)
Now to get the y-intercept, simply set x = 0 and solve for y.

Well done, there ;)

Answer 6

y intercept = -5/3 and thanks !!(:

Answer 7

No problem :)