Question

Part a.) Find the slope of the line that contains the points, (1, 2) and (2, 5).

Part b.) Using the slope that you found in part a and one of the given points, write the equation of the line. Please write your final answer in slope-intercept form.

Answer 1

start with point-slope form:
y - y1 = m(x - x1)

then you need to "plug" in your points
2 - 5 = m(1 - 2)

now solve for m which represents your slope
-3 = m(-1)

now divide both sides by -1
3 = m


now that you know the slope we can start on part b

slope intercept form is: y = mx + b

we need to use one of our points to find b
2 = 3(1) + b

now solve for b which represents our y-intercept
2 = 3 + b

subtract the 3 from both sides:
-1 = b

now we can plug in b and get our equation in slope intercept form
y = 3x -1