Linear Equations Quiz

What is the equation of the line? Hint: Look at the axes and reduce.

• y=1/2x+10

• y=2/4x+20

• y=10/20x+20

• y=2x+10

Answer explanation

The equation of the line is y=1/2x+10 because when looking at the axes, the line intersects the y-axis at 10 and has a slope of 1/2.

Graph y = 2x - 2

• A

• B

• C

• D

Answer explanation

The graph of y = 2x - 2 is a straight line with a slope of 2 and y-intercept of -2. Choice A is correct as it represents the equation correctly.

Which equation represents the graph pictured?

Answer explanation

The correct equation is y=\frac{1}{2}x+10 because the graph has a slope of 1/2 and a y-intercept of 10.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Answer explanation

To find the slope, use the formula: slope = (y2 - y1) / (x2 - x1). Substituting the given points, slope = (11 - 3) / (5 - 2) = 8 / 3. Therefore, the slope is 8/3.

Tags

CCSS.8.EE.B.5

Answer explanation

To convert the equation to slope-intercept form, solve for y. Start by isolating y: 2x - 3y = 6 becomes -3y = -2x + 6, then y = (2/3)x - 2. Therefore, the correct choice is y = (2/3)x - 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Answer explanation

To convert the equation to point-slope form, keep 'y' on one side and simplify. The correct form is y - 4 = 2(x - 1).

Answer explanation

The correct choice is Slope: -3, y-intercept: 5 because the equation is in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Answer explanation

To solve the equation, first, subtract 2x from both sides to get x - 4 = 1. Then, add 4 to both sides to isolate x, giving x = 5. Therefore, x = 1 is the correct choice.

Answer explanation

The point (0, -3) lies on the line because when x=0, y=2(0) - 3 = -3, satisfying the equation y = 2x - 3.

Answer explanation

To calculate the slope, use the formula: slope = (y2 - y1) / (x2 - x1). Substituting the values, slope = (4 - (-2)) / (3 - (-1)) = 6 / 4 = 2. Therefore, the slope is 2.

Tags

CCSS.8.EE.B.5