Answer: y = -2x -3
Step by step explanation
First, we find the gradient of the line 4x + 2y = 10 by making y the subject of the formula.
4x + 2y = 10
2y = 10 - 4x which is the same as 2y = -4x + 10
Divide each term by 2
2y/2 = -4x/2 + 10/2
y = -2x + 5
From the equation, the gradient (coefficient of x) is -2
Since the line is parallel to 4x+2y=10, therefore the gradient of the lines are the same
The equation of the line can be gotten from y - y1 = m(x -x1)
where y1 = 5, x1 = -4 and m = -2
Therefore subtitiuiting into y - y1 = m(x -x1)
y - 5 = -2(x-(-4))
y - 5 = -2(x + 4)
y - 5 = -2x - 8
y = -2x -8 + 5
y = -2x -3
you can see that the gradients are the same (coefficent of x = -2)