(Given one point) For Both Equations Write The Equation of the line, In Standard Form, Using the Following Information:

Question

Also, for both equations, could you not use mixed numerals and Simplify as much as possible?

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Slope: 2

Point: (3, -5)

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Slope: -1/2

Point: (6, -3)

Answer 1

y = 2x -11

y = -1/2x

Answer 2

I can do the first one as the example and you can do the second one using the exact same procedure.

standard form is ax + by = c

first we determine the equation of the line in slope intercept form y = mx + b, where we need to determine m = slope and b = y-intercept

slope is given as 2, so equation becomes y = 2x + b.

Using given point (3,-5) we can plug those values in for x and y and solve for b:

-5 = 2(3) + b; b = -11.

so equation becomes y = 2x - 11

now subtract 2x from both sides so equation is in standard form:

-2x + y = -11