SOLUTION: find x and y intercept of the line that passes through the given point (4, -2) (5, -4)

Algebra ->  Linear-equations -> SOLUTION: find x and y intercept of the line that passes through the given point (4, -2) (5, -4)      Log On


   

Question 705921: find x and y intercept of the line that passes through the given point
(4, -2) (5, -4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
first find the equation of a line passing through the given point
(4, -2) (5, -4)

Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (4, -2) and (x2, y2) = (5, -4).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-4--2%29%2F%285-4%29+=+-2.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -2%2A4+%2Bb+=+6. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-2--2%2A4+=+6.

y=(-2)x + (6)

Your graph:





so, the equation is y=-2x%2B6
to find x-intercept set y=0 and solve for x

0=-2x%2B6
2x=6
x=6%2F2
x=3
the x-intercept is at (3, 0)

to find y-intercept set x=0 and solve for y

y=-2%2A0%2B6
y=6

the y-intercept is at (0, 6)