Mathematics

Question

Write the equation of the line that passes through (4, -8) and is parallel to the line y = -2x - 13.

2 Answer

  • Answer:

    y=-2x

    Step-by-step explanation:

    Parallel means same slope.

    y-y1=m(x-x1)

    y-(-8)=-2(x-4)

    y+8=-2x+8

    y=-2x+8-8

    y=-2x

  • Answer: y=-2x+0

    Let’s rewrite the equation

    y=-2x-13

    Knowing that the new equation is parallel to this will only tell us the slope. When an equation is parallel to another, it has the same slope but different y-intercept. So, our equation will have the same slope.

    This is our current equation: y=-2x+b

    Now we need to solve to b. We’ll do this by substituting the point into the equation and solving.

    y=-2x+b

    *substitute point*

    -8=-2(4)+b

    -8=-8+b

    +add 8 on both sides*

    0=b

    Let’s add this into our equation— y=-2x+0 is our final answer

    Hope this helps comment below for more questions :)
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