Question

Find the equation of the line that has the point (-4,1) and is parallel to y=3/4x

Answer 1

y-1=3/4(x+4)

Answer 2

lines are parallel,so slopes are equal

Answer 3

lines are parallel so the whole equation will be same except the intercept.

we know that equation of line is y = m.x + c

here c is the intercept

so the equation of the line parallel to the given line will be y = (3/4)x +c

now as the line passes through (-4, 1) it will satisfy the equation

so 1 = (3/4) -4 + c
so 1 = -3 + c

or c = 4

so the required equation is y = (3/4) x +4