Answer:
y = 7
giving the point (5, 7)
Explanation:
Recall that the definition of slope is: rise/run. The rise is on the vertical y-axis and the run is on the horizontal x-axis. So a slope of "3" means that there is a rise of three units per unit of run in the horizontal axis. This means that if we start from the given point: (3, 1), moving one unit to the right (run) from x= 3 to x=4, the value of the y-coordinate should go up 3 units (from 1 to 4). Thus giving the point (4, 4). Now from here we can move another unit to the right (from 4 to 5 in x), and that would result in a rise of 3 units (from 4 to 7).
Therefore the new point on this line is: (5, 7)
Then we got the y-value that accompanies x = 5 on this line, by using its slope.