How to find the equation of a line given two points

The video tutorial explains how to find the equation of a line given two points. It starts with a graphical approach to visualize the line, identify the slope, and y-intercept. The tutorial then transitions to an algebraic method using the slope formula to derive the equation. The final equation is presented as y = -2x - 7, with explanations on how to calculate the slope and y-intercept.

What is the y-intercept of a line that passes through the points (-5, 3) and (0, -7)?

• -5

• -7

• 3

• 0

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

• Divide the difference in y-coordinates by the difference in x-coordinates

• Subtract the x-coordinates from the y-coordinates

• Multiply the x-coordinates and y-coordinates

• Add the x-coordinates and y-coordinates

What is the slope of the line that passes through the points (-5, 3) and (0, -7)?

• -5

• -2

• 2

• 5

Which of the following represents the equation of a line with a slope of -2 and a y-intercept of -7?

• y = -2x - 7

• y = -2x + 7

• y = 2x - 7

• y = 2x + 7

Why is the y-intercept important when writing the equation of a line?

• It is the point where the line crosses the y-axis

• It is the point where the line crosses the x-axis

• It determines the length of the line

• It determines the slope of the line