Learn how to write the equation of a line given a point and the slope

The video tutorial explains how to write an equation in slope intercept form. It begins with an introduction to the concept, followed by a detailed explanation of the slope intercept form and the given values. The tutorial then demonstrates how to find the value of b using a given point on the coordinate grid. Finally, it shows how to write the complete equation in slope intercept form, concluding with the final equation y = 2/3x.

What is the primary purpose of writing an equation in slope-intercept form?

• To express a line's equation using its slope and y-intercept

• To determine the midpoint of a line segment

• To find the x-intercept of a line

• To calculate the area under a curve

If you are given a point and the slope, what is the next step to find the y-intercept?

• Divide the y-coordinate by the slope

• Add the slope to the y-coordinate

• Substitute the point into the equation and solve for b

• Multiply the slope by the x-coordinate

In the equation y = mx + b, what does 'b' represent?

• The slope of the line

• The y-intercept of the line

• The x-intercept of the line

• The midpoint of the line

After finding the values of m and b, how do you write the final equation of the line?

• y = m + bx

• y = x + mb

• y = b + mx

• y = mx + b

Why is it unnecessary to write '+ 0' in the final equation y = 2/3x + 0?

• Because it changes the slope

• Because it is mathematically incorrect

• Because it complicates the equation

• Because adding zero does not affect the equation