Question

Line M passes through the points (1,2) and (3,5) , find the X- and Y- intercepts

* Please Show Work *

Answer 1

see the answer below

Answer 2

Ok. So first, we calculate the slope!

m=(y2-y1)÷(x2-x1)= (5-2)÷(3-1)=3/2.

Now that we have the slope, we can start to write an equation for the line by plugging in the given points. b is the y-intercept.

y=mx+b.
2=(3/2)1+b
b=2-(3/2)=2-1.5=.5 or 1/2

so the y-int is (0,.5 or 1/2) .

Next, we have to find the x-int.

to do that, we just plug in 0 for the y.

0=1.5x+.5
x=-.5/1.5= (1/3)

so the x-intercept is
(1/3 or .33,0).