Answer:
[tex]y=x+7[/tex]
Step-by-step explanation:
We can use the equation y=mx+b to solve this problem.
First, we know the 'm' or slope of the line, so we'll substitute that into the equation.
[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]
Now, let's solve for b. We already have x and y values - x= -3 and y=4. Let's substitute that into y=x+b and solve.
[tex]y=x+b\\4=-3+b\\b=4+3\\b=7[/tex]
Finally, let's plug the slope and y intercept ('b') back into y=mx+b.
[tex]y=mx+b\\y=(1)x+(7)\\y=x+7[/tex]
That's the answer to this problem.
I hope this helps.
