Write an equation of the line passing through (-2, 5) and (4, 6). give the answer in standard form.

y=1/6x + 5 1/3

Step-by-step explanation:

So we start by finding the slope, by finding the change in y over the change in x, which is this case would be 1/6 because 6-5=1, and 4-(-2)=6. So the slope is 1/6. And if we plug it into the equation y=mx+b, which is the standard equation, where m is the slope, and b is the y interecpt, it becomes y=1/6x+b. And in order to find the y interecept, we simply plug in a point, in this case I will use (4,6). We get 6 = 4/6 +b, and we get 5= 5 1/3. So as a result we get the y intercept, whihc is (0, 5 1/3). So the Final equation is - y=1/6x + 5 1/3

is there a picture

step-by-step explanation: