Question

PLEASE HELP ASAP!!

y = x^2 − 5x + 9
y = -2x

solve these algebraically to get graph points

Answer 1

The parabolic equation does not intersect the linear equation.

Step-by-step explanation:

Given equation's:

• y = x² − 5x + 9
• y = -2x

To solve , use substitution method by inserting 2nd equation into 1st

`\sf y = x^2 - 5x + 9`

when substituted y = -2x

`\sf -2x = x^2 - 5x + 9`

collect terms

`\sf x^2 - 5x+ 2x + 9=0`

simplify

`\sf x^2 - 3x + 9=0`

Find discriminant:

`\sf b^2 - 4ac`

`\sf (-3)^2 - 4(1)(9)`

`\sf -27`

As the discriminant is negative, it tell us that they both does not intersect each other.