Question

Hey if anyone could help me solve this that be awesome :D

Answer 1

I'm here to help.  Those 3 points all lie on the same line.  We know this because if we find the slope between any 2 of those points, it is the same.  I'll show you: $m= \frac{12-20}{15-10}=- \frac{8}{5}$.  Now another 2 points: $m= \frac{4-12}{20-15}=- \frac{8}{5}$.  The same holds for the first and third points.  So we got that out of the way.  Now we will pick any one of those points and use the x and y values and our slope to write an equation of that line and then finally solve for the x and y intercepts.  I'm going to use the first point (10, 20): $y-20=- \frac{8}{5}(x-10)$.  We will simplify to get it into y = mx + b form: $y-20=- \frac{8}{5}x+ \frac{80}{5}$ and $y-20=- \frac{8}{5}x+16$ and finally, $y=- \frac{8}{5}x+36$.  The y-intercept exists when x = 0, so when x = 0, y = 36.  The x-intercept exists when y = 0, so when y = 0, x = 22.5.  In summary, y-intercept: (0, 36).  x-intercept: (22.5, 0)  and you're all done!

Answer 2

Hey sorry I can't answer this but I just wanted to let you know that the butterfly died :( I couldn't pm because I have to answer more Qs but yea it died :(