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I WILL MARK BRAINLIEST !A line has a slope of 3 and includes the points (7,1) and (4,q). What is the value of q?​

Sagot :

Answer:

q = -8

Step-by-step explanation:

Given the slope and ordered pairs (7, 1) (4, q)

Use slope = 3 and point (7,1) and  substitute into the slope-intercept  form y = mx + b  and solve b

y = mx +b

1 = 3(7) + b

1 = 21 + b

-20 = b

Now write the equation of the line y = 3x - 20

          Substitute (4, q)  into y = 3x - 20  

                                              q = 3(4) - 20

                                              q = 12 - 20

                                               q = -8

Check:   Substitute into the slope formula  the two ordered pairs (7, 1) (4, -8)

Slope = (change in the y-values)/(change in the x-values)

Slope = (-8 - 1)/(4 - 7)

Slope = (-9)/(-3)

Slope = 3    √

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