159k views
9 votes
Find the solution of y = 4x + 2 for x = -5.

A.
(-5, -18)


B.
(-5, 22)


C.
(-18, -5)

User Yukio
by
7.9k points

1 Answer

8 votes

Answer: THE ANSWER WOULD BE A. (-5, -18)

Notice how y=4x%2B2 is in slope-intercept form y=mx%2Bb where m is the slope and b is the y-intercept.

So this shows us that the slope is m=4 and the y-intercept is b=2 which is the point (0,2)

You can always plot an equation like this to find intercepts

and slope. Each point requires an x and a y. My

way is to make x+=+0 and find y,

then I make y+=+0 and find x

y+=+4x+%2B+2

y+=+4%2A0+%2B+2 solve for y

y+=+2

the point is (0,2)

then,

0+=+4x+%2B+2 solve for x

subtract 2 from both sides

4x+=+-2

x+=+-%281%2F2%29

the point is (-%281%2F2%29,0)

Once you have any two points, you can draw the line by connecting them

When the equation is in the form

y+=+mx+%2B+b

m = slope

b = y-intercept

So, your equation y+=+4x+%2B+2

m+=+4 (slope)

b+=+2 (y-intercept)

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: (

5

,

18

)

Equation Form: x

=

5

,

y

=

18

User RikSaunderson
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories