Finding the equation of a line using point slope form through a point given a slope

The video tutorial demonstrates how to find the equation of a line given a slope and a point. It begins with an introduction to the concept, followed by a detailed explanation of using the slope-intercept form (Y=MX+B) to find the equation. The tutorial then walks through solving for the Y-intercept using the given point and slope, and concludes with finalizing the complete line equation.

What is the first step in finding the equation of a line when given a point and a slope?

• Calculate the slope

• Identify the y-intercept

• Identify the x and y coordinates of the point

• Solve for the y-intercept

Which form of the equation is used to find the y-intercept when given a point and a slope?

• Point-slope form

• Slope-intercept form

• Standard form

• Quadratic form

What is the value of the y-intercept (b) when the point (6, 9) and slope 4 are used in the equation y = mx + b?

• 15

• -15

• 9

• -9

What is the final equation of the line passing through the point (6, 9) with a slope of 4?

• y = 4x - 15

• y = 4x + 15

• y = 9x + 4

• y = 6x - 9

How can you verify the equation of a line obtained using the slope-intercept form?

• By comparing it with the point-slope form

• By checking if the slope is zero

• By ensuring the x-coordinate is zero

• By using a different point