Question

Write an equation that is parallel to the line y = −5x + 2 and passes through the point (0, 3).

A) y = 5x + 3
B) y = −5x + 3
C) y = 15x + 3
D) y = −15x + 3

Answer 1

B

Explanation:

I took the test

Answer 2

option B

ANSWER:

The equation that is parallel to the line y = −5x + 2 and passes through the point (0, 3) is y = -5x + 3

SOLUTION:

We need to find Write an equation that is parallel to the line y = −5x + 2 and passes through the point (0, 3).

Given, Equation is y = -5x + 3 ----- eqn (1)

Given point P(0,3)

The above equation is in slope intercept form y = mx + c, Where m is slope and c is intercept made on x-axis.

Comparing equation 1 with y = mx + c we get m =-5 and c =3

Two parallel equations will always has the same slope.

So the required equation slope is also -5 that is m=-5 and it passes through the point p

Now, by using point slope form
`y-y_(1)=m\left(x-x_(1)\right)` ---- eqn(2),

where m is slope and
`\left(x_(1), y_(1)\right)` point on that line.

Put
`x_(1)=0, y_(1)=3` and m =-5 in eqn (2)

y – 3 = -5(x – 0)

y – 3 = -5x

y = -5x +3

Hence the equation that is parallel to the line y = −5x + 2 and passes through the point (0, 3) is y = -5x + 3, i.e. option B