Equation of a Linear Equation

Determine the slope and y-intercept.         y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Write the equation of the line passes through the point (3,-1) and has a slope of 2.

• y = 3x - 1

• y = 2x - 5

• y = 2x - 7

• y = -x + 3

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Determine if the given pair of lines is parallel, perpendicular, or neither.

• Parallel

• Perpendicular

• Neither

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

In the equation y=mx+b, what does the letter "x" represent?

• Slope

• Y-Intercept

• Independent Variable

• Dependent Variable

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What does the 'k' represent: y = k(x)

• Constant

• Coefficient

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Determine if the given pair of lines is parallel, perpendicular, or neither.

• Parallel

• Perpendicular

• Neither

Given that the slope is  -4 and the y intercept is -4 what is the equation of the line?

• y = 4x - 4

• y = -4x - 4

• y = -4

• y = -4x + 4

Answer explanation

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Here, m = -4 and b = -4, so the equation is y = -4x - 4, which matches the correct answer.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Identify the slope and y intercept in the equation of the line: y = -1/3x + 1

• Slope: 1/3
  y-intercept: 1

• Slope: 1/3
  y-intercept: -1

• Slope: -1/3
  y-intercept: 1

• Slope: -1/3
  y-intercept: 0

Answer explanation

In the equation y = -1/3x + 1, the slope is the coefficient of x, which is -1/3, and the y-intercept is the constant term, which is 1. Therefore, the correct choice is Slope: -1/3 and y-intercept: 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Write the equation for the line in slope-intercept form.

• y=-1x+3

• y=4x+3

• y=¼x+3

• y=-4x+3

Answer explanation

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept. The correct choice, y = 4x + 3, has a slope of 4 and a y-intercept of 3, fitting this form.