Question

write an equation in slope-intercept form of the line with an x-intercept of 6 and a y-intercept of 5

Answer 1

x-intercept (6,0)
y-intercept (0,5)

now find the gradient from those two points
and substitute a point from above and the gradient back into the formula y=mx+c
so find the value of c and then rewrite the whole equation with the c value that you found.

Answer 2

I like to break these down.
So slope intercept form is: y = mx + b
And m is the slope and b is the y-intercept
They give us the y intercept, so we can start filling in the equation:
y = mx + 5
So now we substitute in values for x and y to solve for m:
We know the x-intercept is 6, so that's the point (6,0), where x=6 and y=0,
so let's substitute those into our equation so far:
0 = m(6) + 5
-5 = 6m
m = -5/6
So the equation is: y = (-5/6)x + 5

Hope that helps! :-)
It's my first day on the site.

Answer 3

Thanks guys