What is the equation of the line that passes through the point left bracket, minus, 1, comma, 6, right bracket ( − 1 , 6 ) (−1,6) and has a slope of 1 1 1?

Answer 1

The equation for a linear line is:

y=mx+b

where m is the slope, b is the y-intercept, and y is a function of x.

The question provides us with the slope of the line m=1, and a test point on the line (-1,6). We can plug our value for m and our values for x and y from the test point into our equation to solve for b:

6=(1)(-1) + b

6=-1+b

add 1 to both sides:

7=b

Now we know values for m and b, so the equation for the line is:

y = x + 7