Hi!
Let's write it in slope intercept form first.
y = mx + b
Subtract y intercepts
1 - (-2) = 3
Subtract x intercepts
2 - (-3) = 5
y = 3/5x + b
Substitute one of the points to find y intercept.
1 = 3/5 · 2 + b
1 = 1.2 + b
-0.2 = b
y = 3/5x - 0.2
Now substitute the point (5,3), and if the equation is still correct, then it does pass through that point.
5 = 3/5 · 3 - 0.2
5 = 1.8 - 0.2
5 = 1.6
Since the equation is in correct, the line does NOT pass through the point (5,3).
Hope this helps! :)
The find the equation of a line in any form, you will have to find out the slope first:
m=(y2-y1)/(x2-x1)=(48-12)/(32-34)=-18
the simplified form is the slope-intercept form, so next we need to find the y intercept,
y=mx+b =>y=-18x+b
Use any of the two given points to find out b: 12=-18(34)+b =>b=624
so the equation is: y=-18x +624
Please double check the calculation by yourself
