Find the point slope form and slope intercept form, indicate the slope and y-int:

1) 3x+4y=-12

2) -2x-3y=6

1) The point slope form and slope intercept form of 3x + 4y = -12 are and respectively

And slope is and y -intercept is -3

2) The point slope form and slope intercept form of -2x - 3y = 6 are and respectively

And slope is and y-intercept is -2

Solution:

Given, two equations are 3x + 4y = - 12 ⇒ (1) and – 2x – 3y = 6 ⇒ (2)

We have to find the point slope form and slope intercept form, and have to indicate the slope and y-intercept.

The point slope form is given as:

Where "m" is the slope of the line

The slope-intercept form is given as:

y = mx + c

Where "c" is the y-intercept

1) Solving 3x + 4y = -12

Given equation is 3x + 4y = -12

On rearranging the terms, we get,

Hence the slope intercept form is

2) Solving -2x – 3y = 6

Slope intercept form is given as:

Point slope form is given as:

Hence the required slope and y-intercept are found

where r the answers

step-by-step explanation: