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(4,3), (5,y); slope= 3 find y intercept

Sagot :

Heather

Answer: y = 6

Step-by-step explanation:

        We are given two coordinate points and a slope, and are asked to find the y-intercept of the second coordinate point. To find this missing value, we can use the slope formula, substitute our known values, and solve for y.

                 [tex]\displaystyle \text{Slope}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

                 [tex]\displaystyle 3=\frac{y-3}{5-4}[/tex]

                 [tex]\displaystyle \frac{3}{1} =\frac{y-3}{5-4}[/tex]

                 3(5-4) = 1(y - 3)

                 3(1) = 1(y - 3)

                 3 = y - 3

                 6 = y

        The missing y-intercept is 6.

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