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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:

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

step-by-step explanation: