Parallel to the line
2x + 5y = 10
And passes through the point (-5,1)
First we need to identify the slope of the equation/expression
2x + 5y = 10
To do so, you may use the slope formation (isolate y)
5y = -2x + 10
y = (-2/5)x + 2
So the slope is -2/5
And since they mentioned the other line will be parallel then the slopes are identical.
Passes through (-5,1)
Use the formula
y - y1 = m(x - x1)
where m is slope
And subsitute
y - 1 = (-2/5)(x + 5)
y - 1 = (-2/5)x - 2
y = (-2/5)x -1
Since the slopes are both identical then the lines are indeed parallel
Therefore the answer is correct!
