Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The general equation in slope-intercept form is: where m is slope and b is y-intercept.

Finding Slope:

Both the equations given are parallel. So, they will be having same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation   where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept:

Using slope m = -2/3 and point (-3,5) we can find y-intercept

So, we get b = 3

Now, the equation of required line having slope m = -2/3 and y-intercept b =3

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is

Step-by-step explanation:

5 = –⅔[–3] + b

2

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.

11 feet 6 inches and 8 feet 6 inches