A1-U2.3 Lesson Check: Graphing w/ Standard Form

Students are going to graph equations presented in ________ form.

Answer explanation

Students are going to graph equations presented in standard form, which is a common way to express linear equations. This format allows for easy identification of key features like intercepts.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Equations in standard form: ​ (a)   x + ​ (b)   y = ​ (c)   ​

• A

• B

• C

Answer explanation

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. Choices A, B, and C represent valid constants that can be used in this equation format.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Reorder the following

• Set the x-intercept by substituting zero for y, then solving for x.

• Set the y-intercept by substituting zero for x, then solving for y.

• Then plot and connect those coordinates.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which equation is written in STANDARD form?

• y = 1/2x + 2

• y - 3 = -5(x + 2)

• 7x + 2y = 9

• 3x + 2 = y

Answer explanation

The equation 7x + 2y = 9 is in standard form, which is Ax + By = C, where A, B, and C are integers. The other options are either in slope-intercept form or point-slope form.

The place where a line crosses the y-axis is called the _____ .

• x-intercept

• y-intercept

Answer explanation

The y-intercept is the point where a line crosses the y-axis, indicating the value of y when x is zero. The x-intercept, on the other hand, is where the line crosses the x-axis.

Tags

CCSS.HSA.REI.D.10

The place where a line crosses the x-axis is called the _____ .

• x-intercept

• y-intercept

Answer explanation

The x-intercept is the point where a line crosses the x-axis, indicating the value of x when y is zero. Therefore, the correct answer is x-intercept.

Tags

CCSS.HSA.REI.D.10

Identify the key features of the line represented by the equation

5x+6y=30

x-intercept: ​ (a)   y-intercept: ​ (b)   slope:​ (c)  

• (6,0)
• (0,5)
• (0,6)
• (5,0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Identify the key features of the line represented by the equation

-5x+3y=-15

x-intercept: ​ (a)   y-intercept: ​ (b)   slope:​ (c)  

• (3,0)
• (0,-5)
• (0,3)
• (-5,0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10