Respuesta :
Step-by-step explanation:
Hi! I am a little confused because in this question they would normally ask for the equation of the line but if you are wondering what the slope is, it says in the information that the slope is 2. I will solve for the line equation anyway though.
A line has this form: y=mx+b.
For this question they will want us to give the answer with x and y as variables (letters) and m and b (the slope and y-intercept respectivly) with numerical values.
First, we can put in the point into the equation. The point given is (14,33) so the x value is 14 and they y value is 33.
y=mx+b
33=m(14)+b
We know the slope is 2 (from the given information) so we can substitute that in for m.
33=(2)(14)+b
Solving for b, the Y-intercept, we get b=5.
Perhaps your question was "what is the Y-intercept" and then this would be the answer.
Finally, the final equation for the line is:
y=2x+5
Hope this helps!
