Question

What is an equation of the line that passes through the points (1, 1) and (7,-5)?
Put your answer in fully reduced form.

Answer 1

Answer:

y=-$\frac{6}{5}$x+2$\frac{1}{5}$

Step-by-step explanation:

We have to find the slope first. to do this, we need to use point slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. Plug in the numbers, and we get $\frac{-5-1}{7-1}$, or -$\frac{6}{5}$.

Now we have the equation y=-6/5x+b. To find b, we can plug in any coordinate and solve. Let's use (1,1).

1=-6/5(1)+b

1=-6/5+b

b=2$\frac{1}{5}$

So, added all together our equation is y=-$\frac{6}{5}$x+2$\frac{1}{5}$