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,
![(14-4)/(5-0) =(10)/(5) =2](https://img.qammunity.org/2023/formulas/mathematics/high-school/m8sw1pwxs2vlzcbfiv8lj89821n4br8j0a.png)
-> 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,
![(4--5)/(-3-0)=(4+5)/(-3-0)=(9)/(-3)=-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/23ta93crpbahyb2oa6efs7hugy6ob3h5qn.png)
-> The final equation is y = -3x - 5