Answer:
(y-4) = 2(X+1)
Explanation:
The given eqaution is; y = 2x-5.......(i)
Now; the equation is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, the slope of the 1st equation (m1) = the slope of the 2nd equation (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the equation of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write up here. But if you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.