Determining Line Equations and Slopes

The video tutorial explains how to determine the equation of a line with a given slope and a point. It focuses on using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. The tutorial demonstrates substituting the slope and using a point on the line to find the y-intercept. The final equation is written in slope-intercept form and verified graphically.

What is the slope of the line we are trying to determine?

• 2

• 3

• 1

• 4

Which form are we using to determine the equation of the line?

• Standard Form

• Point-Slope Form

• Slope-Intercept Form

• Quadratic Form

What is the general form of the slope-intercept equation?

• Y = MX + B

• Y = M + BX

• Y = B + MX

• Y = X + MB

What is the value of the slope (M) in our equation?

• 1

• 2

• 3

• 4

What are the coordinates of the point through which the line passes?

• (-6, -1)

• (1, 6)

• (-1, -6)

• (0, 0)

What do we substitute for X and Y in the equation to find B?

• -6 and -1

• 1 and 6

• -1 and -6

• 0 and 0

What is the value of B after solving the equation?

• 4

• -4

• -2

• 2

What is the final equation of the line in slope-intercept form?

• Y = -2X + 4

• Y = -2X - 4

• Y = 2X - 4

• Y = 2X + 4

What is the y-intercept of the line?

• -2

• 4

• -4

• 2

How can we verify the slope of the line graphically?

• By going down 2 and left 1

• By checking the y-intercept

• By checking the x-intercept

• By going up 2 and right 1