Question

The graphed line shown below is y = 5 x minus 10.

On a coordinate plane, a line goes through (2, 0) and (3, 5).

Which equation, when graphed with the given equation, will form a system that has no solution?

y = -5 x + 10
y = 5 (x + 2)
y = 5 (x - 2)
y = -5 x - 10

Answer 1

Explanation:

For 2 lines to form a system with no real solution, the slope of the lines have to be equal and the y-intercept is different.

Hence the answer is y = 5(x + 2).