Exploring Linear Equations in Honors Geometry

This video tutorial covers linear equations, focusing on writing equations in point-slope form and converting between different forms of linear equations. It provides step-by-step examples of how to write equations given a point and a slope, and how to change equations from standard form to slope-intercept form and vice versa. The tutorial also reviews the three main forms of linear equations: slope-intercept, point-slope, and standard form.

What is the first step in writing an equation in point-slope form?

• Fill in the slope

• Fill in the y-intercept

• Fill in the y-coordinate of the point

• Fill in the x-coordinate of the point

In the equation y - 1 = 4/3(x + 2), what is the slope?

• 3/4

• 4/3

• 2

• 1

Given the point (6, -5) and a slope of 7, what is the equation in point-slope form?

• y - 5 = 7(x - 6)

• y - 5 = 7(x + 6)

• y + 5 = 7(x - 6)

• y + 5 = 7(x + 6)

How do you find the slope between two points (x1, y1) and (x2, y2)?

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (y1 - y2) / (x1 - x2)

• (x1 - x2) / (y1 - y2)

What is the slope of the line passing through the points (5, 0) and (5, 5)?

• 5/4

• 1

• Undefined

• 0

Which form of linear equation is represented by y = mx + b?

• Slope-intercept form

• Quadratic form

• Standard form

• Point-slope form

If you are given a graph, which form of linear equation should you use?

• Quadratic form

• Standard form

• Slope-intercept form

• Point-slope form

What is the first step in converting an equation from standard form to slope-intercept form?

• Divide both sides by the coefficient of y

• Subtract the x-term from both sides

• Multiply both sides by the coefficient of x

• Add the y-term to both sides

In the equation y = 7x + 32, what is the y-intercept?

• 7

• 1

• 32

• 0

How do you convert an equation from point-slope form to standard form?

• Distribute the slope and simplify

• Add the x-term to both sides

• Subtract the y-term from both sides

• Multiply both sides by the slope