Note: I will be writing these in slope-intercept form.
[6] y = 2x + 4
Since the line is going from bottom left to top right, we know the slope of the line is positive.
-> The b, or y-intercept, is 4 because the line hits the y-axis at 4.
-> The slope can be found with change in y over change in x,
[tex]\frac{14-4}{5-0} =\frac{10}{5} =2[/tex]
-> The final equation is y = 2x + 4
[7] y = -3x - 5
Because the line is going from top left to bottom right, we know the slope of the line will be negative.
-> The b, or y-intercept, is -5 because the line hits the y-axis at -5.
-> The slope can be found with change in y over change in x,
[tex]\frac{4--5}{-3-0}=\frac{4+5}{-3-0}=\frac{9}{-3}=-3[/tex]
-> The final equation is y = -3x - 5
