What is the equation of the line that passes through the point (1,8) and has a slope of 1?

Answer 1

what is the line through the point (1,8) with slope =1?

y=(1)x + b is the equation in slope intercept form

y = x +b has an implicit 1 as the coefficient of the x term which = the slope. b is the y intercept. to solve for b plug in the point, x=1, y=8

y=x+ b

8 = 1 + b

b= 7

the equation is y=x +7

which has slope 1 and y intercept 7 through the point (1,8)

or another way to do the problem is:

set slope = slope = the difference in y coordinates divided by the difference in x coordinates = "rise over run"

1 = (y-8)/(x-1)

y-8 = x-1

y = x-1 + 8

y = x+7