Question

Write the equation in fully simplified slope intercept form​

Answer 1

`y = - (1)/(5) x - 1`

Explanation:

Choose any 2 points on the line indicated by dots. I'll choose (5,-2) and (10,-3)

work out the gradient between these two points.

equation:

`(change \: in \: y)/(change \: in\: x) = gradient`

`( - 3 - ( - 2))/(10 - 5) = - (1)/(5)`

the gradient is -1/5

the equation we need to write it in is y=mx+c. use one of the two coordinates chosen. I'll use (5,-2). y is -2, m is the gradient which is -1/5 and x is 5.

working out c:

`y = mx + c`

`- 2 = - (1)/(5) (5) + c`

`- 2 = - 1 + c \\`

add one to both sides.

C is -1

we now have c and the gradient, so the equation is

`y = - (1)/(5) x - 1`