Can anyone help me out? I need the answer and can you explain it! I’ll make brainlist thanks!

3) Equation of line is: 5x-8y+34=0

4) Equation of line is: 5x+y+5=0

Step-by-step explanation:

3) Equation of line parallel to and through point (-2,3)

When two lines are parallel they have same slope.

Converting the given equation to Slope intercept form i.e

Now comparing with we get value of m i.e 5/8 which is slope of line.

Now, finding y-intercept using point (-2,3) and slope 5/8

So, y-intercept is b= 17/4

The required equation is:

Writing in Standard form

So, Equation of line is: 5x-8y+34=0

4) Equation of line perpendicular to and through point (-2,5)

When two lines are perpendicular they have opposite slope i.e m=-1/m.

Converting the given equation  to Slope intercept form i.e

Now comparing with we get value of m i.e 1/5 which is slope of given line.

Slope of required line will be: m=-1/m = -5

Now, finding y-intercept using point (-2,5) and slope -5

So, y-intercept is b= -5

The required equation is:

Writing in Standard form

So, Equation of line is: 5x+y+5=0

step-by-step explanation:

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step-by-step explanation: