Identify Linear Equation Forms

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

Write the following equation in slope-intercept form:
4x - 3y = 12

• y = -4/3x + 3

• y = -4x + 12

• y = 4/3x - 4

• y = 4/3x - 12

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Write the equation below in standard form
y = 2/3 x + 5.

• -2/3x+y=5

• 2x - 3y= -15

• -6/3x + 3y= 15

• -2x+3y=15

Given the equation y = 2x+3, what is the slope?

• 2

• x

• 3

Tags

CCSS.8.EE.B.5

Match the different forms of a linear equation

• y-y₁=m(x-x₁)

• standard form

• Ax+By=C

• slope-intercept form

• y=mx+b

• point-slope form

Answer explanation

Match the following:

• Standard Form

• Slope-Intercept Form

• Point-Slope Form

Identify the slope and y-intercept of:
y = 1/2x - 1

• slope: 1/2   y-intercept:  -1 

• slope: 2/1   y-intercept:  -1

• slope: 3   y-intercept:  -3 

• slope: 2  y-intercept:  5 

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Write the equation of the line.
Slope = -4, passing through (-1, 5)

• y+5 = -4(x-1)

• y-5 = -4(x+1)

• y-5 = 4 (x-1)

• y = -4x - 9

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

• y +7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y+ 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Name the x- and y-intercepts for the equation:
5x - 3y = 15

• (3, 0) and (0, -5)

• (0, 3) and (-5, 0)

• (5, 15) and (15, 3)

• (0, -3) and (5, 0)