Question

C) A line through (4, 12) and (7,3). ANSWER:​

Answer 1

Answer: y=-9/4x+21

Explanation:

To find a line that passes through the given points, we can use them to find the slope. Once we have the slope, we can plug in any point and solve for the y-intercept. The formula to solve for slope is
`m=(y_2-y_1)/(x_2-x_1)`.

`m=(3-12)/(7-3) =(-9)/(4) =-(9)/(4)`

Now that we have the slope, we can plug in any point.

12=-9/4(4)+b [multiply]

12=-9+b [add both sides by 9]

b=21

Now that we know the y-intercept, the equation is y=-9/4x+21.