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 [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{3-12}{7-3} =\frac{-9}{4} =-\frac{9}{4}[/tex]
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.
