Heather is solving an equation by graphing the expressions on both sides. if her graph intersects at an infinite number of points, which statement could describe the equation heather is attempting to solve?
a. one side of the equation is a constant, and the other side of the equation is a linear expression.
b. one side of the equation is a linear expression, and the other side of the equation is a quadratic expression.
c. one side of the equation is a constant, and the other side of the equation is a quadratic expression.
d. one side of the equation is a quadratic expression, and the other side of the equation is a quadratic expression.

D. One side of the equation is a quadratic expression, and the other side of the equation is a quadratic expression.

Step-by-step explanation:

Knowing that she got an infinite number of points in the resolution, indicate us that both sides of the equation have a similar expression, that is, both are linear,  both are quadratic, et cetera. Because, in this case, the two terms overlap each other giving infinite solutions. In any other case, for example, one term is constant and the other is quadratic, the solution (if exist) gives finite points. In the example that could be one or two points, depending on the specific case.

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?