Write the equation of the line in fully simplified slope-intercept form,

slope-intercept formula: y = mx + b
m is the slope
b is the y-intercept
to find the slope, you would use rise over run ( [tex]\frac{rise}{run}[/tex] ). start at -5, where the line intersects at the y-axis and go up 2 and 1 right. this would be your slope [tex]\frac{2}{1}[/tex] or 2. to verify that this is the slope, every single dot on the line rises at 2 and goes 1 right.
to find the y-intercept, you would look at where the line intercepts at the y-axis. so, -5 would be the y-intercept.
plug the numbers into the slope-intercept formula, and your final answer is:
y = 2x - 5