answer: y = 3/2x - 2
how i got the answer:
<em>slope intercept form: y = mx + b (slope = m , y-intercept = b)</em>
<em>with this form, any value for y or x should work and have one true solution.</em>
so, let's start by finding the y intercept, or what y is when x = o. in this case, it looks like it's -2, so we can add that to the equation.
y = mx - 2
to find the slope, let's plug a y and x value in the graph into the equation to isolate m and get our slope.
let's use the point (2,1)
1 = (2)m - 2
1+2 = 2m -2+2
3 = 2m
3/2 = 2m/2
= m
the slope is 3/2. lets add that to the rest of our equation:
y = 3/2x - 2
now that we have the slope value, our equation is complete!
there you go! hope this helps, and have a great day!