Answer:
C
Step-by-step explanation:
we are given the two points: (1,1) and (5,6)
first, we need to find the slope (m), which is used with the equation (y2-y1)/(x2-x1)
we can label the points:
x1=1
y1=1
x2=5
y2=6
now substitute into the equation:
m=(6-1)/(5-1)
m=5/4
the slope is 5/4
now use point-slope form which is y-y1=m(x-x1)
substitute the given points into the equation
y-1=5/4(x-1), which is also C
note: you can also do this with the other point (5,6) which would then give the result of y-6=5/4(x-5) (still the same equation), however, the option choices don't have that.
