Answer:
[tex]y = -4x+5[/tex]
Step-by-step explanation:
First, we can identify the line's y-intercept, or the y-value at which the line crosses the y-axis (vertical axis):
y = 5
Next, we can solve for the line's slope using the formula:
[tex]\text{slope} = \dfrac{\text{rise}}{\text{run}}[/tex]
[tex]= \dfrac{-8}{2}[/tex]
[tex]=-4[/tex]
(Note: For this calculation, you can take any two points on the line and, to calculate the slope, plug in the difference in y-coords. for rise and the difference in x-coords. for run. Since this line is going down and to the right, its slope is negative.)
Finally, we can plug these values in the slope-intercept form equation:
[tex]y=mx+b[/tex]
where [tex]m=\text{slope}[/tex] and [tex]b=\text{y-intercept}[/tex].
↓↓↓
[tex]\boxed{y = -4x+5}[/tex]
