Assuming you want the equation in slope intercept form, you first need to use slope formula to find the slope.

Plug in the coordinates that you have, (3,-1) and (4,7), for the x and y values respectively.

Which reduces to 8/1=8.
The slope of your equation is 8.
Slope intercept form is: y=mx+b. m is your slope and b is your y-intercept, x and y stay unchanged.
Plug the slope in:
y=8x+b.
Now, you can plug one of the sets of coordinates into the x and y of the equation to find b. I'm using (3,-1).
-1=8(3)+b
-1=24+b
Subtract 24 from both sides.
-25=b
Now plug this into the equation!
y=8x-25 is your final equation.
I hope this helps :)
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at
and point Q at
in the proportion a:b, we use the formula:

line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.
Given:
16,12,10,15,7,9,16
Form the above data given;
Rearranging for easy identification, we have;
7,9,10,12,15,16,16

From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.
Therefore, the mode is 16.
The answer is D. For every week, she is giving away 10 pencils which means Mrs. Doyal is removing pencils from the 150 pencils she already has by “-10x”. Hope this helps c: