Step-by-step explanation:
The form y = mx + b gives the equation of a straight line where m is the slope of the line(the gradient) and b is the intercept of the line and the y axis.
All lines with the same gradient (i.e. the same number in front of the x) are parallel.
First, let's rearrange your line equation into the correct form of y = mx + b
2y-8x=-10 Move the x term across the equals sign, changing its sign as we do so 2y = 8x - 10 Now divide by 2 (through the whole equation) to get rid of the 2y and just leave y. y = 4x - 5 Now we can see that the line we want has a gradient of 4. it also intercepts the y axis when y = -5 The line we want is therefore y = 4x - 5 It is the same line as the one given!