What is the y-intercept of line MN? What is the equation of MN written in standard form?

Answer:

The y-intercept for line MN is 2

The standard form of the equation is revealed as ⇒ x + y = 2

Step-by-step elucidation:

Coordinates marking the ends of line MN → M(-3, 5) and N(2, 0)

The slope of the line was computed as

                        =

                        = -1

For line MN which passes through (-3, 5) with a slope of -1, the equation formulated is given by

y - 5 = (-1)(x + 3)

This simplifies to

y - 5 = -x - 3

Thus resulting in

y = -x + 2

Here the equation appears in the y-intercept form of

y = mx + b

where m represents the slope of the line and b denotes the y-intercept

So, consequently, the y-intercept for line MN is 2

The equation generates in the standard form as

x + y = 2

the initial one is: -1

the second one represents: y-5 = -1 ( x + 3)

the next one is: -x + 2

the first one on the right side evaluates to: 0,2

and the second one on the right side settles at: x+y=2

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