Question

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

Answer 1

Answer: y=-9/4x+21

Step-by-step 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 $m=\frac{y_2-y_1}{x_2-x_1}$.

$m=\frac{3-12}{7-3} =\frac{-9}{4} =-\frac{9}{4}$

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.