A line passes through the origin and has a slope of 2/3

y=2/3x

Step-by-step explanation:

the origin is the point (0,0) and the given slope is 2/3

the equation for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept

the slope is given, meanwhile, the y intercept is the point where the line passes through the y axis, and the x value is 0.

In this question, we actually have the y intercept given, which is (0,0)

we can put it all together then:

y=2/3x+0

or

y=2/3x

Hope this helps :)

i'm not sure i quite understand, could you provide more information?

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.