SOLUTION: Write the equation in slope-intercept form of the line containing the points (4,6) and (2,7)

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Question 629918: Write the equation in slope-intercept form of the line containing the points (4,6) and (2,7)
Answer by Charles3475(23) About Me  (Show Source):
You can put this solution on YOUR website!
I would first compute the slope (m) as Δy/Δx = (y2 – y1) /(x2 – x1)

m = (7-6)/(2-4) = -1/2

The equation for a line is y = mx + b; where m is the slope and b is the y intercept.

So we know that the equation is y = -1/2*x + b; but we need to solve for b.

Select either data point and use it to solve for b by enetring the data into the equation. I will use the point (4,6).

6 = -1/2*4 + b

6 = -2 + b

b = 8

So the equation is y = -1/2*x + 8

Check by testing with both data points.