Standard Form Lines

The ___________ of a linear equation is

Ax + By = C

where a and b are not both zero

• standard form

• slope-intercept form

• x-intercept

• point-slope form

• y-intercept

Match the equation with the x - intercept.

• (3, 0)

• x + y = 4

• (-3, 0)

• 7x - 14y = 21

• (1, 0)

• x = -3

• (2, 0)

• 4x - 8y = 8

• (4, 0)

• 8x - 4y = 8

Tags

CCSS.HSF-IF.C.7A

Match the equation with the y - intercept.

• none

• 8x - 4y = 8

• (0, -3/2)

• x = -3

• (0,-1)

• 4x - 8y = 8

• (0, 4)

• x + y = 4

• (0, -2)

• 7x - 14y = 21

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Match the equations in slope intercept form with the standard form equivalent equations.

• x - y = - 3

• 4x - 5y = 5

• x - y = 0

• x + 0y =5

• x = 5y

What is Standard Form of a line?

• y = mx + b

• Ax + By = C

• y − y₁ = m(x − x₁)

Ax+By=C

• Standard form of a line

• Quadratic equation

• Exponential equation

• Pythagorean theorem

Write in standard form.
2x - 8 = -3y + 2

• 2x + 3y = 10

• 2x - 3y = 10

• 2x + 3y = -6

• 2x - 3y = -6

• Standard form of a line

• Quadratic equation

• Exponential equation

• Pythagorean theorem

Write the standard form of the given line.

Mathematical Equivalence

ON

What is the equation in standard form of the line that passes through the point (6, −1) and is parallel to the line represented by 8x + 3y = 15?

• 8x + 3y = −45

• 8x − 3y = −51

• 8x + 3y = 45

• 8x − 3y = 51

Answer explanation

8(6) + 3(-1) = 48 - 3 = 45