Type an equation for the following
x=1,2,3,4,5
y=28,56,84,112,140
y=? x + ?

y = 28x

Step-by-step explanation:

In the slope-intercept form of a line, the standard equation is y = mx + b, where m is the slope and b is the y-intercept.  This y-intercept value can be found where x = 0.

From our data, we can see that x is going up by 1 unit, and y is going up by 28 units.  That is our rate of change, or slope...28.  However, we can apply the slope formula to 2 points in that data and check ourselves:

Let's check another 2 points just to be sure the slope is constant:

Ok, so the slope is definitely 28; m = 28

Again we go back to the idea that the b value is the y-intercept, and by definition, the y-intercept exists where x = 0.  If we look at where our data starts and then subtract 1 from x and 28 from y, we have x = 0 and also y = 0.  The coordinate for that is (0, 0).  Here, x = 0, so the y value is our y-intercept (aka b value).  b = 0.  Therefore, the equation for this data is a line:

y = 28x + 0 or simply, y = 28x

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step-by-step explanation: