Answer:
y = 3x + b
Step-by-step explanation:
Essentially the question is asking us to find the equation of the line in slope intercept form
Slope intercept form: y = mx + b
Where m = slope and y = y intercept
First let's find the slope
Slope = change in y over change in x
Looking at the line as y goes up 3 x goes up 1
hence slope (m) = 3/1 or just 3
Now let's find the y intercept
The y intercept is equal to the y value of the point where the line passes the y axis
The line passes the y axis at ( 0 , 1 ) and the y value of that point is 1
Hence, y intercept (.b ) = 1
Finally we substitute 3 for m and 1.for b in y = mx + b to get the equation of the line
We get y = 3x + 1.
