3 years ago

Writing linear functions given a graph, I have to know the equation, slope, and y intercept anything helps!!

2 answers:

7 0

Given the points on the graph, (-3,0) and (0,5), we can solve for the slope using the formula:

m = (y2 - y1)/(x2 - x1) = (5-(-3)) / (0- (-3)) = 5/3

So the slope is 5/3 (you can verify on the graph, using the rise/run concept).

The y-intercept is the value of y when x = 0. If you look at the two coordinates that I used for solving the slope, the coordinate ( 0, 5) will give you the y-intercept of 5, since its ordered pair of x value = 0.

So, y-intercept = 5.

We now have the necessary variables needed for your linear equation:

y = 5/3x + 5.

It has a positive slope, thus the line sloping upward.

Hope this helps you :)