How to find the equation of a line given two points

Created from Youtube video: https://www.youtube.com/watch?v=4vXqMsvPSv4video

Concepts covered:slope formula, y-intercept, slope-intercept form, algebraic method, graphical method

The video explains how to find the equation of a line given two points by first determining the slope using the formula (y2 - y1) / (x2 - x1) and then identifying the y-intercept, which is the y-value when x equals zero. The presenter demonstrates both graphical and algebraic methods, emphasizing the use of the slope-intercept form y = mx + b to derive the equation y = -2x - 7 for the given points.

chapter

Concepts covered:slope formula, y-intercept, slope-intercept form, algebraic method, graphical method

Question 1

The slope formula is (y2-y1)/(x2-x1).

Question 2

How do you find the Y-intercept?

Question 3

The slope of the line is _____.

Question 4

CASE STUDY: A city planner needs to determine the equation of a line for a new road that passes through two specific points on a map. The points are (5, 3) and (0, 7).

Identify the incorrect step in finding the line equation.

Question 5

Slope of line is -2 if rise is -10 and run is 5.

Question 6

What is the slope of a line?

Question 7

The formula for slope is (Y2-Y1)/(X2-_____).

Question 8

CASE STUDY: An engineer is tasked with designing a ramp that follows a linear path between two points: (2, 4) and (6, 12).

Select the incorrect application of slope in this design.

Question 9

Y-intercept is the y-value when x equals zero.

Question 10

What does the slope formula calculate?

Question 11

The Y-intercept of the line is _____.

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