Question

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

Answer 1

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 ( $\frac{rise}{run}$ ). start at -5, where the line intersects at the y-axis and go up 2 and 1 right. this would be your slope $\frac{2}{1}$ 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