A line's y -intercept is –6 ,and its slope is 1. What is its equation in slope -intercept form?

Answer 1

The nice thing about this question is that you just have to plug in the answer to the slope intercept form! Slope intercept form of a linear equation is y = mx+b, where m is the slope and b is the y-intercept. In the question the y-intercept is given as -6, and the slope is 1, so when you use m = 1 and b = -6, the equation is:

y=1x+ (-6). However, you probably want to clean it up a little, because 1x is the same as x (since multiplying by 1 doesn’t change a value) and +(-6) is equal to just saying -6. So final answer is: y = x - 6.

Answer 2

It's just the equation y=x shifted down 6 units, so it crosses the y axis at (0,-6)

a 45 degree sloping line, m=1 and b=-6 plugged into

y=mx + b, m=slope, b = y intercept

y=(1)x -6

y = x-6

you could also think of the y=x line being shifted to the right by 6 units

going from (y-h) = m(x-k) with (h,k) = (0,0) to y-0 = m(x-6) the x intercept is 6

which says the same as the y intercept =-6, if the slope = 1