write a line that passes through (7,0) and (-7,1)

Answer 1

The best way to create a line that crosses two points is using point slope form:

y - y₁ = m ( x - x₁) where x₁ and y₁ are the x and y-values of one of the points given and m is the slope.

First, we need to find the slope of the two points. To do this we will use the formula for slope:

y₂-y₁

x₂-x₁

Let's say (-7,1) is our x2,y2 and (7,0) is our x1,x1. Now we just plug the numbers into the formula and simplify:

1-0 = 1

-7-7 -14

So our slope is -1/14. We can plug this into our point slope equation:

y - y₁ = -1/14(x - x₁)

Now just pick one of the points given and plug it in for x1 and y1 (I'll use the first point):

y - 0 = -1/14 (x - 7)

y = -1/14(x - 7)

And that's our line! If you have any questions please don't hesitate to comment and I will try to respond in a timely fashion :)