Slope and Y-Intercept

What is the slope of the line? y = 1/3x - 2

• 3

• -2

• 2

• 1/3

Answer explanation

The slope of the line is the coefficient of x in the equation y = mx + b. Therefore, the slope is 1/3.

Tags

CCSS.8.EE.B.5

Aria is planning to sell her handmade bracelets at a local market. She calculates that her profit, in dollars, can be represented by the equation y = 12x + 50, where x is the number of bracelets sold. What is Aria's profit when she hasn't sold any bracelets yet?

• -$50

• -$12

• $12

• $50

Answer explanation

The slope of the line is the coefficient of x in the equation y = mx + b. Therefore, the slope is 1/3.

Tags

CCSS.HSF.LE.B.5

What is the y-intercept of the line? y = -4x + 5?

• 4

• -4

• 5

• -5

Answer explanation

The y-intercept is the point where the line crosses the y-axis, which is represented by the constant term in the equation. In this case, the y-intercept is 5, so the correct answer is 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

For the equation 2y = 8x - 6, what is the slope of the line?

• 4

• -4

• 8

• -3

Answer explanation

The slope of the line is the coefficient of x when the equation is in the form y = mx + b. In this case, the equation is already in that form, so the slope is 8/2 = 4.

Tags

CCSS.8.EE.B.5

If a line passes through the points (1,2) and (3,8), what is the slope of this line?

• 1

• 2

• 3

• 4

Answer explanation

The slope of a line passing through two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). Therefore, the slope of the line passing through (1,2) and (3,8) is (8-2) / (3-1) = 6 / 2 = 3. Hence, the correct answer is 3.

Tags

CCSS.8.EE.B.5

Draw a line that would have a positive slope.

Draw a line that would have a negative slope.

What is the equation for any line in slope-intercept form?

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3