Question

Write both equations of the following system in the slope intercept form in order to decide how many solutions the system will have. Select the letter that corresponds with your result.
2x + 3y = 12
4x + 6y = 15

A. one solution
B. two solutions
C. three solutions
D. no solution

Answer 1

you mean y=mx+b?

Answer 2

Slope intercept form is
y=mx+b where m is the slope and b is the y-intercept, the place where the graph crosses the y axis.
Put both equations in slope intercept form by solving for y. That's for you first step. Then:
if the equations have different slopes, they will cross in exactly one spot, which means they have 1 solution =)
If the equations have the same slope, but different y-intercepts, then they are parallel, and never cross, which means they have no solutions.
If the equations have the same slope and the same y-intercept, then they overlap. They are basically the same line, and they have infinitely many solutions.