Question

Write in slope intercept form an equation of the line that passes through the given points

Answer 1

Answer:

The desired equation is y = x + 8.

Step-by-step explanation:

As we move right from (-2,6) to (4,12), x increases by 6 and y also increases by 6.  Thus, the slope, m, m = rise / run, is m = 6/6, or just m = 1.

Start with the slope intercept form y = mx + b.  Since m = 1, we now have y = x + b.  Subbing 4 for x, 12 for y, we can find b:  12 = 4 + b.  Thus, b = 8.

The desired equation is y = x + 8.

Answer 2

Answer:

The answer to your question is y=1x+8

Step-by-step explanation: We already know that the slope formula is:

$m=\frac{y2-y1}{x2-x1}$

Substitute the values to find the slope

m= 12-6/4-(-2)

m= 6/4+2

m= 6/6

m=1, so, therefore, the slope is 1

And the y-intercept would be 8

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