When you graph a system of linear equations why does the intersection of the tow lines represent the solution of the system?

Step-by-step explanation:

step 1. when you graph 2 lines they must intersect unless they are parallel (same slope)

step 2. if they intersect then they have one point in common

step 3. that point in common solves both equations

step 4. when a point solves both equations it is called the solution.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

need more information

step-by-step explanation: