Question

WILL FAN AND MEDAL
Line A has a slope of -2 and passes through point (3, 4).

Line B has a slope of 1/2 and passes through the origin.

On the coordinate plane, graph the point where line A intersects line B

Answer 1

Line A: y= ax +b, note that a is the slope

a= -2 and we know (3,4); 4= (-2)*3+b ==> b=10 and y=(-2x)+10

Line B: y2=0.5*x+d

we know it passes through (0,0); 0=0.5*0+d ==> d= 0 and y=0.5x

this equations give y for the input x. So if we do this;

y(x)=y2(x), we find the results where y values are the same for the x inputs:

(-2x)+10=0.5*x

> 10 = 2.5*x
>x=4 ==>> only for x value 4 do these lines cross.

you can see that: y(4)= -8+10= 2 and y2(4)=0.5*4= 2

both result in (4,2)