Write the equation of a line given a point and a slope that is a fraction

The video tutorial explains how to write linear equations in slope-intercept form. It begins with an introduction to the concept of slope and linear equations, followed by a detailed explanation of the slope-intercept form. The tutorial then demonstrates how to write equations using a given slope and identifies missing information, such as the Y intercept. Finally, it shows how to solve for the Y intercept using given points.

What is the primary focus of the slope-intercept form of a linear equation?

• Identifying the x-intercept

• Identifying the slope and y-intercept

• Finding the midpoint of a line

• Calculating the area under the line

In the slope-intercept form, what does the slope represent?

• The x-coordinate of the x-intercept

• The y-coordinate of the y-intercept

• The ratio of change in y to change in x

• A fixed point on the line

How can you determine the y-intercept if you have a point and the slope?

• By dividing the y-coordinate by the x-coordinate

• By multiplying the slope with the x-coordinate

• By substituting the point into the equation and solving for the y-intercept

• By finding the average of the x and y coordinates

What is the equation of the line if the slope is 5 and the y-intercept is 6?

• y = 6x - 5

• y = 5x - 6

• y = 6x + 5

• y = 5x + 6

What does the x and y in the equation of a line represent?

• The infinite points that make up the line

• The slope and y-intercept

• The coordinates of the midpoint

• The endpoints of the line