96.4k views
5 votes
Help. Don't understand any of this stuff.

Help. Don't understand any of this stuff.-example-1
User Integ
by
8.0k points

1 Answer

5 votes

It can be helpful to plot the two points on a graph.

The slope of a line is the ratio of the vertical change to the horizontal change. We sometimes refer to that as "rise over run." In the figure, we have used the symbol ∆ to mean "the change in", so the equation m=∆y/∆x means the slope (m) is the change in y-value divided by the change in x-value.

Those changes can be measured anywhere on the line (since the slope of a line is the same everywhere), but it is convenient to use the given points. Here, the vertical difference between the points is 10-6 = 4; the horizontal change is 8-0 = 8. The slope is the ratio of these: 4/8 = 1/2. This is the value that is used for the coefficient of x in the equation of the line.

The y-intercept is the value of y where the line crosses the y-axis. Since you are given the point (0, 6), you know the line crosses the y-axis at y=6. This is the constant value in the equation of the line.

Filling in these numbers, you have

... slope-intercept form of y = 1/2 x + 6

Help. Don't understand any of this stuff.-example-1
User Sushmit Sagar
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories