Write the equation of the line that goes through points (9, 1) and (-1, 6) in slope-intercept form. (Hint: Find slope first and then use y = mx + b).

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Respuesta :

You can use a formula to find the slope from the two points

m=slope

m= y_2 - y_1 / x_2-x_1

This means slope equals the change in y's for the change in x's, substitute your points into the formula to solve for the slope:

m=6-1/-1-9 --> m=5/-10 --> m= -1/2 or -0.5

Now that you know the slope, substitute the slope as well as one of the points into the equation y=mx+b (we'll use point (9,1) but either one will work ) to solve for the y-intercept

1=(9)-0.5 +b

1= -4.5 +b Add 4.5 to both sides

5.5=b

So your equation is y= -0.5x + 5.5

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