SOLUTION: the lin y=2x-10 meets the x-axis at point a. the line y=-2x+4 meets the y-axis at the point b. Find the equation of the line joining a and b

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Question 1198188: the lin y=2x-10 meets the x-axis at point a. the line y=-2x+4 meets the y-axis at the point b. Find the equation of the line joining a and b

Found 2 solutions by math_tutor2020, MathLover1:
Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!

Plug in y = 0 and solve for x to locate the x intercept.

y = 2x-10
0 = 2x-10
2x = 10
x = 10/2
x = 5
The x intercept is located at (5,0)
This is the location of point A.

Now plug in x = 0 to find the y intercept for the other linear equation
y = -2x+4
y = -2(0)+4
y = 4
The y intercept is (0,4) which is where point B is located.

We want to find the equation of the line through A(5,0) and B(0,4)
We need the slope

We know the y intercept since this line goes through B(0,4)
The y intercept always occurs when x = 0.

We have m = -4/5 as our slope and b = 4 as the y intercept.

Therefore, the slope-intercept equation becomes which is the final answer.

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
if the line meets the x-axis at point, the point is (,)
=>find x-intercept

=> the point is (,)
if the line meets the y-axis at the point , the point is (,)
=>find y-intercept

the point is (,)

to find the equation of the line joining and, use points above to finnd a slope:
(,), (,)

use point slope formula to find equation of a line
...........substitute coordiates of one point and a slope

-> answer