Question

A line with a slope of 10 passes through the point (1,0) what is the equation in slope intercept form

Answer 1

y=10x-10

Explanation:

Since we have a point and a slope, we can use the point slope formula
`y-y_(1) =m(x-x_(1))`

Where m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point

We know that the slope, or m, is 10. And we know a point (1,0). Comparing this point to (x,y), 1 is our x coordinate, and 0 is our y coordinate. So, we can substitute these values into the formula

y-0=10(x-1)

Distribute the 10

y-0=10*x+10*-1

y-0=10x-10

Since adding 0 to both sides won't do anything, we can eliminate from the left.

y=10x-10

This equation is in slope intercept form: y=mx+b

So, our equation is y=10x-10