Answer:
Step-by-step explanation:
First we need to find the slope of the given line;
Given the line 2x + 5y= -10, we need to write it in standard form of y = mx+c
Make y the subject of the formula;
2x + 5y= -10
5y = -2x-10
y = -2x/5-10/5
y = -2x/5 - 2
Hence the slope of the line m = -2/5
Since the equation of the line we need is parallel to this line, hence they will have the same slope.
The slope of the required line = -2/5
Get the intercept;
Substitute the point (10,4) and m = -2/5 into the equation y = mx+c
4 = -2/5(10)+c
4 = -4 + c
c = 8
Get the required equation;
y = mx+c
y = -2/5 x + 8
Hence the equation of a line parallel to the given line and contains the given point is y = -2/5 x + 8
