SOLUTION: Solve the system and graph the curves: a) x^2+3x-y+2 = 0 ; and y-5x = 1

Question 1048624: Solve the system and graph the curves:
a) x^2+3x-y+2 = 0 ; and y-5x = 1
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39627) (Show Source): You can put this solution on YOUR website!
SOLVING

intersecting coordinate .
Corresponding vertical coordinate, , for the single point (1,6).

GRAPHING

The line is straightforward.

the parabola can be converted into standard form for easy finding of roots and vertex. OR, factoring could help, if possible.

Roots being -1 and -2, symmetric around ;
y for the vertex, .
-
Vertex is at (-3/2, -1/4).

A closer look at the intersection:

Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
.
Intersecting is touching at x = 1 in this case.

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