Question

Write an equation of the line passing through point P(0, −1) that is parallel to the line y = −2x+3.

Answer 1

y = -2x - 1

Explanation:

Equation of line: y =mx + b

Here, m is the slope and 'b' is the y-intercept

y = -2x + 3

m = -2

Parallel lines have same slope.

Substitute m = -2 in the equation,

y = -2x + b

The line is passing through (0 ,-1). So, substitute this point in the equation and find the value of b.

-1 = -2*0 + b

-1 = b

Equation of line:

`\sf \boxed{y = -2x - 1}`