Writing Linear Equations with Point Slope Form

The video tutorial reviews writing linear equations using different methods: from a given slope and point, from two points, from a table, and from a graph. It explains how to use point-slope form and convert it to slope-intercept form. The tutorial includes step-by-step solutions to problems, demonstrating how to find the slope and write equations in both forms. The video concludes with a brief assignment and encourages students to reach out with questions.

What are the three main methods to write a linear equation?

• Using a slope and a point, using two points, using a table

• Using a graph, using a table, using a calculator

• Using a slope and a point, using a graph, using a calculator

• Using two points, using a table, using a calculator

If a line has a slope of 4/3 and passes through the point (9, 2), what is the point-slope form of the equation?

• y - 2 = 4/3(x - 9)

• y + 2 = 4/3(x + 9)

• y + 9 = 4/3(x + 2)

• y - 9 = 4/3(x - 2)

Convert the point-slope form y - 2 = 4/3(x - 9) to slope-intercept form.

• y = 4/3x + 12

• y = 4/3x - 12

• y = 4/3x + 10

• y = 4/3x - 10

Given the points (1, 2) and (-2, -7), what is the slope of the line passing through these points?

• -1/3

• -3

• 3

• 1/3

What is the point-slope form of the line passing through the points (1, 2) and (-2, -7)?

• y - 2 = 3(x - 1)

• y - 1 = 3(x - 2)

• y + 1 = 3(x + 2)

• y + 2 = 3(x + 1)

Convert the point-slope form y - 2 = 3(x - 1) to slope-intercept form.

• y = 3x + 1

• y = 3x - 1

• y = 3x - 3

• y = 3x + 3

Given the table of values, what is the slope of the line?

• 1/3

• 3

• -1/3

• -3

What is the point-slope form of the line represented by the table of values?

• y - 5 = -3(x + 2)

• y + 5 = -3(x - 2)

• y - 2 = -3(x + 5)

• y + 2 = -3(x - 5)

Convert the point-slope form y + 5 = -3(x - 2) to slope-intercept form.

• y = -3x - 1

• y = -3x + 1

• y = -3x + 3

• y = -3x - 3

Given the points (-1, 2) and (3, 0) from a graph, what is the slope of the line?

• -1/2

• 1/2

• -2

• 2