Question

Please help! If you could explain your answer that'd be great too!

Answer 1

Writing a line equation using two points:

- two points of (x,y) are sufficient to form straight line equation

- Select the easiest points which contain simple coordinates of x and y that you feel they could result simple substitution in the equation form

Our two points are (0,3) and (-6,0)

The slope is:
`slope=m= (y_2-y_1)/(x_2-x_1) = (0-3)/(-6-0) = (1)/(2)`

`y - y_1 = m (x - x_1)\\~\\y-3= (1)/(2) (x-0)\\~\\y-3=(1)/(2)x`

Therefore, we can write:

`y= (1)/(2) x+3`

This is the slope-intercept form of your line.

I hope you got the idea