Question

Write an equation of a line that is parallel to y=-3x+5 that passes through the point (0,-4)

Answer 1

Answer:

${ \rm{y = - 3x + 5}}$

Gradient = -3

• Parallel lines have the same gradient, therefore gradient, m is -3

${ \rm{y = mx + c}}$

• At point (0, -4)

${ \rm{ - 4 = ( - 3 \times 0) + c}} \\ \\ { \rm{c = - 4}}$

y intercept is -4

${ \boxed{ \boxed{ \mathfrak{answer : }}{ \rm{\: \: y = - 3x - 4}}}}$