Answer
y-intercept = 1/2
x -intercept = -1
The solutions are x = -1 and y = 1/2
Explanation:
Given the following linear equation
5x - 10y = -5
To find x and y-intercepts
Step 1: isolate x to find y
let x = 0, to find y
5(0) - 10y = -5
0 - 10y = -5
-10y = -5
Divide both sides by -10
-10y/-10 = -5/-10
y = 1/2
(0, 1/2)
5x - 10y = -5
To find x, let y = 0
5x - 10(0) = -5
5x - 0 = -5
5x = -5
Divide both sides by 5
5x/-5 = -5/5
x = -1
(-1, 0)
Therefore, y-intercept = 1/2 and x -intercept = -1
The slope-intercept form of the equation is given as
y = mx + c
Given 5x - 10y = -5
Step 1 : re-write the equation
-10y = -5 - 5x
10y = -(-5 - 5x)
10y = 5x + 5
Divide through by 10
10y/10 = 5x/10 + 5/10
y = 1/2x + 1/2
5x
10y = -(-5 - 5x)
10y = 5x + 5