Lesson: Solutions in Standard Form

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Solutions in

Standard Form

Objective: Identify Solutions to equations given in Standard Form

Multiple Select

y = 2x - 1 is graphed.

Which points are on the line?

• ( -2, -5)

• (0, -1)

• (-1, 0)

• (3, 2)

• (5, 3)

​EXAMPLE in Slope Intercept Form

​Given y = 4x - 12 is (4, 2) a solution?

​EXAMPLE in Slope Intercept Form

​Given y = 4x - 12 is (4, 2) a solution?

​2 = 4(4) - 12

​2 = 16 - 12

​2 ≠ 4

​EXAMPLE in Standard Form

​Given 3x - 8y = -24, are (-16,-3) and (5,4) solutions?

​EXAMPLE in Standard Form

​Given 3x - 8y = -24, are (-16,-3) and (5,4) solutions?

3(-16) - 8(-3) = -24

3(5) - 8(4) = -24

-48 - -24 = -24

15 - 32 ≠ -24

Multiple Select

Given 2x + y = 4, choose all the points below that fall on the line.

• (-12, 28)

• (3, -2)

• (-5, -6)

• (10, -24)

Multiple Select

If 7x - 3y = 21, choose all the solutions.

• (-15,-42)

• (-2,6)

• (0,-7)

• (6,7)

• (10,12)