Forms of a Line and Slopes

• Slope-intercept form

• Standard form

• Point-slope form

• Vertex form

Tags

CCSS.HSG.GPE.B.5

Which equation is written in the slope-intercept form of a line? What is the slope?

• 2y = 2x + 1, Slope of 2

• y = 2x + 1, Slope of 2

• y = 2x + 1, Slope of 1

• y - 1 = 2x, Slope of 2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which equation is in point-slope form?

Answer explanation

The equation in point-slope form is y-5=\frac{3}{4}(x-1) because it represents a line with slope \frac{3}{4} passing through the point (1,5).

• Standard form

• Point-slope form

• General form

• Slope-intercept form

Which form of a line is represented as y = mx + b?

• Point-slope form

• Standard form

• Vertex form

• Slope-intercept form

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of the following equations represents a line in standard form?

Which of the following equations is in slope-intercept form?

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of the following has the same slope as the given line, y = 2x + 3?

• 2x + 3y = 1

• y = 2(x - 1)

• y = -2x + 3

• y = 3x + 2

Tags

CCSS.8.EE.B.5

What is the slope of the line, y = x + 9, in slope-intercept form?

• 9

• 1

• 0

• • - 1

Tags

CCSS.8.EE.B.5

In the following four standard form equations, which one has a slope of -2?

• 2x - 4y = 5

• 2x + 4y = 5

• 4x + 2y = 2

• 4x - 2y = 2

Answer explanation

The equation 4x + 2y = 2 has a slope of -2 because when written in slope-intercept form (y = mx + b, 2y = -4x +2 --- y = -2x +1), the coefficient of x represents the slope, which is -2 in this case.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3