Answer:
Explanation:
We are given a line on a graph
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept
The y intercept is the point at where the line intersects the y axis. The value of x at this point is 0
We can see this point on our graph - it is the point (0, 5)
As b is the value of y at the y intercept, b is equal to 5.
Now we need to find the slope
We can find the slope using the graph - we just count the number of spaces it takes for one point to get to another. It's easier to do this with clear points, whose values are whole numbers. For example, the point (0,5), and (6, 10) (which is also on the line)
So, starting from (0, 5), count how many spaces it takes to get to a x value of 6 - there are 6 spaces between 0 and 6
Now, starting from (6,5) (this is the point we should be at after moving 6 spaces to the right), count up to get to (6, 10) (i.e. count to get to a y value of 10) - there are 5 spaces between 5 and 10
The slope is calculated with the formula rise/run, where rise is the difference between the y values of the coordinates (in this case, 5), and run is the difference between the x values of the coordinates (in this case, 6)
So the slope would be 5/6
All together, the equation of the line will be:
