Question

What is the equation of the line that passes through the point (-1,6) and has a
slope of 1?

Answer 1

y = x + 7

Explanation:

y = mx + b

6 = 1(-1) + b

6 = -1 + b

7 = b

We already know one coordinate and the slope. So, we plug the everything we know into the equation. Once we solve, we get 7 as b. B stands for the y - intercept. Now, we can put the slope and y - intercept into the equation to fet the final equation as y = x + 7.