Answer:
y = 3x + 1
Step-by-step explanation:
Given the following points (0, 1) and (1, 4),
Let x1 = 0
y1 = 1
x2 = 1
y2 = 4
We can solve for the solve for the slope using the following formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} = \frac{4 - 1}{1 - 0} = \frac{3}{1} = 3[/tex]
Next, the y-intercept is the value of y, when x = 0. Looking at one of the given points, (0, 1) we can see that the value of y when x = 0 is 1.
Therefore, the y-intercept is (0, 1), or b = 1.
Given our slope, m = 3, and y-intercept, b = 1:
Our linear equation in slope-intercept form, y = mx + b is:
y = 3x + 1
