Answer:
y = -4x + 4
Explanation:
We need to find equation of the line that is parallel to y = -4x - 5 and that passes through (1,0).
First we need to understand that "parallel lines" have equal slopes. What is the slope of this line?
The general equation of a line is y = mx + b,
where
m is the slope
b is the y-intercept
So, looking at the equation given, we can say the slope is -4, so the parallel line equation will be:
y = -4x + b
To find b, we plug in the point (1,0), where x = 1 and y = 0. Thus we have:
0 = -4(1) + b
0 = -4 + b
b = 4
Hence, final equation is:
y = -4x + 4