Need help with Algebra Pleas help

Question

1.A new drug store is being built at the coordinates (6, 10). Is there a street parallel to Oak Street (the entrance street) that will go to the drug store? If not, what is the equation needed to put this street on the map?

2.Write an equation in Slope-intercept form for the line that is parallel to the line y = -5/2 x 6 and that passes through the given point (-4,-6). pleas show work

3.Write an equation in Slope-intercept form for the line that is perpendicular to the line y = 2x - 5 that passes through the given point (4,-2). pleas show the work

Answer 1

lol, seriously figure it out for yourself. I've been through algebra, but you need to find the answer for yourself. Somebody won't be there in life to constantly give you answers.

Answer 2

1 we can't do without the map.

2.

The line y=(-5/2)x+6 has a slope of -5/2.  Any parallel line will also have a slope of -5/2.  So, it will have the equation y=(-5/2)x+b. Since you have a point on the line (-4,-6), plug in those for x and y and find out what b is:

-6=(-5/2)*(-4)+b

-6=10+b

b=-16

The eqation is y=(-5/2)x-16

3.  The slope of the given line is 2.  To find the slope of the perpendicular line, take the negative reciprocal, or -1/2.

This gives you y=(-1/2)x+b.  Since you have a point (4,-2), plug in those values for x and y and find b

-2=(-1/2)*4+b

-2=-2+b

b=0

y=(-1/2)x+0 or y=(-1/2)x

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