SOLUTION: find the equation of the line with x-intercept 4 and y-intercept 8

Algebra.Com
Question 664380: find the equation of the line with x-intercept 4 and y-intercept 8
Found 3 solutions by Alan3354, MathLover1, ReadingBoosters:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find the equation of the line with x-intercept 4 and y-intercept 8
-----------
For intercepts (A,0) & (0,B), it's
Bx + Ay = A*B
-------------------
8x + 4y = 32
2x + y = 8
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

given:
and

so, you are given these two points: (,) and (,)
now we can find the equation of a line passing through these two points:

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, 0) and (x2, y2) = (0, 8).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-2)x + (8)

Your graph:




so, the equation of the line with and is


Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
Using (4,0) and (0,8)
the slope is determined as
(rise) 8-0 / (run) 0 - 4
8/-4 = -2
...
Given y intercept and calculating slope we have the linear equation
y = -2x + 8
..
Check
y = -2(4) + 8; y = 0
y = -2(0) + 8; y = 8
...

.........................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com
RELATED QUESTIONS

Find the equation of the line with x-intercept 4 and y-intercept... (answered by mananth)
find the equation of the line with x-intercept 5 and y-intercept... (answered by Fombitz)
Find the equation of the line with x-intercept 8 and y-intercept... (answered by scott8148)
Find the equation of the line with no x-intercept and y-intercept of... (answered by MathLover1)
Find the slope intercept form of the equation of the line with x intercept -4/3 and y... (answered by richwmiller)
Find the slope - intercept form if the equation of the line with x-intercept -4/3 and... (answered by richwmiller)
Find the equation of the line with an x-intercept of 4 and a y-intercept of... (answered by jim_thompson5910)
Find the equation of the line with an x-intercept of -1/2 and a y-intercept of... (answered by rfer)
Find an equation in standard form of the line described. has x-intercept 4 and... (answered by chitra)