Please explain the answer. No links or random words or I will report.

Answer:
Step-by-step explanation:
so many people on brainly ask about these type of slope - intercept problems, makes me pretty sure it's the teachers having a tough time teaching this and not people having a tough time learning it
so slope-intercept formula looks like y = mx + b
where y is the output ( range) m is the slope and b is the offset from zero
sooo, knowing the above, apply the idea of making a line with a bunch of x inputs to get y outputs.. but think a bazillion inputs.. of x... like x 1.1 and x of 1.2 and x of 1.3 and continue like that till you've graphed an entire line. :P
now that you have that concept of making a line, by using the slope-intercept formula , let's figure out what that formula is
we are told the slope is 1
and that it goes thur a point (P1) (-5,-8)
we should also bring out the point-slope formula here to, and I know, the names make it hard to remember them. which is which. Point-slope means you can plug in a single point into it, while slope-intercept means where it hits the y axis, or intercepts it.
formula for the point-slope is
y-y1 = m(x-x1)
where x1 and y1 are from the point P1 in the form of (x1,y1)
plug in our slope and our point to the point-slope formula and work it to the slope-intercept formula like below ( btw, you always do this, use the point-slope to get to the slope-intercept, unless they just give you the slope-intercept)
y-(-8) = (1)(x-(-5))
y+8 = 1(x+5)
y+8 = x+5
y = x+5-8
y = x-3
that's your slope-intercept formula , if it helps you can write in the slope like this
y = (1)x - 3
but as you can see, that does nothing to change it, so
y = x - 3 is good