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

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  ---- eqn(2),

where m is slope and point on that line.

Put 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

true

step-by-step explanation:

it is not that hard all u have to do is plot the graph

step-by-step explanation: