Writing Equations of Parallel Lines in Slope-Intercept Form

Mr. Allen explains how to write the equation of a line that passes through a given point and is parallel to another line. He starts by identifying the necessary components: a point and a slope. Using the coordinates of line AB, he calculates the slope and applies it to the new line. He then uses the point-slope form to find the y-intercept and writes the final equation of the line.

What is the first step in writing the equation of a line?

• Drawing the line

• Calculating the slope

• Identifying a point the line passes through

• Finding the y-intercept

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What two components are needed to write the equation of a line?

• A point and the y-intercept

• A point and the slope

• Two points

• The slope and the y-intercept

How do you find the slope of a line given two points?

• Change in x over change in y

• Change in y over change in x

• Sum of x and y coordinates

• Difference of x and y coordinates

Tags

CCSS.8.EE.B.5

What is the slope of the line passing through points A(1, 6) and B(3, 0)?

• -3

• 3

• -2

• 2

Tags

CCSS.8.EE.B.5

If a line is parallel to another line, what can be said about their slopes?

• They are equal

• They are zero

• They are negative reciprocals

• They are perpendicular

Tags

CCSS.8.EE.B.6

What is the equation form used to write the equation of a line?

• y = x + b

• y = mx

• y = mx + b

• y = b

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Given the point (-2, 3) and slope -3, what is the next step to find the y-intercept?

• Draw the line

• Calculate the slope again

• Find another point on the line

• Substitute the point and slope into y = mx + b

What is the y-intercept (b) if the point (-2, 3) and slope -3 are given?

• 6

• -6

• 3

• -3

What is the final equation of the line passing through (-2, 3) and parallel to line AB?

• y = 3x + 3

• y = -3x + 3

• y = 3x - 3

• y = -3x - 3

Why is the slope of the new line the same as the slope of line AB?

• Because they are perpendicular

• Because they are parallel

• Because they intersect

• Because they have the same y-intercept

Tags

CCSS.8.EE.B.6