Answer: A. Line 1
Step-by-step explanation:
When looking at this problem you might think that it is Line 2, but you can look to see which line is wrong by firstly using the graph in Line 4
We'll find out the slope using the formula [tex]\frac{y_{2}-y_{1} }{x{2}-x_{1} }[/tex], you can use any point from the graph, but I chose the points: (-1, 1) and (0,4) so if you plug those two points into the slope formula above you'll get [tex]\frac{4-1}{0-(-1)} =\frac{3}{1}=3[/tex]
Now plug this into our point-slope formula:
[tex]y-y_{1}=m(x-x_{1} \\ y-4=3(x-0)\\y-4=3x-0\\y=3x+4[/tex]
Using this formula you can check to see whether any of the lines satisfy the equation.
Right off the bat, Line 1 won't do so that's your answer.
To be more sure you can put in the point of Line 3 and 2 as well either by hand or using a graphing calculator to see if they appear on a table using those points.
