Question

Write an equation of the line that has a slope of -2/3
and a y-intercept of -2.
A) 2x + 3y = -6
B) 2x + 3y = 6
C) 2x - 3y = -6
D) 2x - 3y = 6
@retirEEd

Answer 1

Have you considered writing the equation of the line in Slope-Intercept form and then using your best algebra to put it in Standard Form?

Answer 2

no because i dont really no how to start

Answer 3

@jabez177

Answer 4

@Zenmo

Answer 5

@mazmaz

Answer 6

@pooja195

Answer 7

I just told you how to start. Why not try that. Do you know the Slope-Intercept form?

Answer 8

is it y=mx+b

Answer 9

Right. You are given the slope and intercept in the problem statement. Go!

Answer 10

so i then multiply -2/3 and -2

Answer 11

because i put it in slope intercept form

Answer 12

Why don't you first substitute the slope and intercept into the y = mx+b equation and let's see what you get?

Answer 13

y= -2/3x+ -2

Answer 14

Good. Now, multiply everything by 3.

Answer 15

-2 x 3= -6, -2/3 x 3= -2

Answer 16

,,,and y*3 = 3y

Put it all together in your new equation.

Answer 17

2x+3y=-6

Answer 18

Sooo... Are you done?

Answer 19

yea but its not one of the options

Answer 20

To find the y intercept all you need to do is plug in x = 0 into the equation.

the equation is in the form

y = m(x)+b

where m = the slope

and

the y intercept is found by

m(0)+b = y

But it's not that straightforward because you need to do some manipulation to find your answer. in each of those problems you need to solve for y