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

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.