8. Find the equation of a line in slope intercept form that is parallel to the line y = -2x - 3 that goes through the point (2, 1).
Work:

Step-by-step explanation:

Hey there!!

To solve this type of question, use these steps.

So, let's work with these steps.

Now,

The equation of a st.line passing through point (2,1) is,

Put all values.

It is the 1st equation.

Another equation is,

y = -2x -3.......(ii)

Comparing the equation with y = mx+c.

Therefore, from equation (ii)

m2 = -2

Now, as per condition of parallel lines,

m1=m2= -2

Putting the value of m1 in equation 1st.

y - 1 = -2x + 4

y = -2x +5.

Therefore, the equation is y = -2x +5.

Hope it helps...

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