Standard Form

​Standard Form

​To find the slope from a Standard Form Equation:

​

• ​Find the x-intercept and y-intercept. Then use a table or Desmos to find the slope between those two points.

Multiple Choice

What is the Standard Form of a linear equation

• Ax+By=C

• y=mx+b

• y-y1 = m(x-x1)

• m = (y2-y1)/(x2-x1)

Multiple Choice

The ___________ is the point where a line crosses the x-axis.

• y-intercept

• x-intercept

• domain

• range

Multiple Choice

The y-intercept is the point where a line crosses the ___________.

• x-axis

• origin

• y-axis

• x-intercept

Multiple Choice

^{What is the x- intercept of the line?}

• (0, 1)

• (1, 0)

• (-1, 0)

• (0, -1)

Multiple Choice

What are the x- and y- intercepts, respectively, on this graph?

• (0,5), (0,5)
• (5,0), (5,0)
• (5,0), (0,5)
• (0,0), (5,0)

Multiple Choice

Which ordered pair could represent a y-intercept on a graph?

• (6, 0)
• (0, 4)
• (-1, 3)
• (2, 0)

Multiple Choice

Give the y-interecept
3x + y = 5

• (-3, 0)
• (0,5)
• (5, 0)
• (0, -3)

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

What is standard form of a line?

• y = mx + b

• Ax + By = C

• y - y1 = m(x - x1)

• y = Ax + By

Multiple Choice

Which equation is written in STANDARD form?

• y = 1/2x + 2

• y - 3 = -5(x + 2)

• 7x + 2y = 9

• 3x + 2 = y

Multiple Choice

$$y=3x+4$$  

• slope-intercept form

• standard form

Multiple Choice

$$5x+3y=4$$  

• slope-intercept form

• standard form

Multiple Choice

$$x+2y=15$$  

• slope-intercept form

• standard form

Multiple Choice

$$y=-2x+3$$  

• slope-intercept form

• 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

EXAMPLE

Rewrite in slope-intercept form

4x - 3y = 24

Multiple Choice

Convert the following equation from standard form to slope-intercept form:

4x + 2y = 14

• y = 4x + 14

• y = -2x + 14

• y = -2x - 14

• y = -2x + 7