y = −x + 4
y = 3x + 3

Which description best describes the solution to the following system of equations?
Line y = −x + 4 intersects the line y = 3x + 3.
Lines y = −x + 4 and y = 3x + 3 intersect the x-axis.
Lines y = −x + 4 and y = 3x + 3 intersect the y-axis.
Line y = −x + 4 intersects the origin.

Respuesta :

Neither of them intersect the origin, so option 4 is ruled out. They do intersect, at (0.25, 3.75). And they each intersect the x and y axis. The question was which description best describes the solution... so I think it would be, "Line y = -x + 4 intersects the line y = 3x + 3."
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