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

    Let’s rewrite the equation

    y=-2x-13

    Knowing that the equation is parallel to this will only tell us the slope. When an equation is parallel to another it has the same slope but a different y-intercept. So, our equation will also have a slope of -2.

    Our current equation is y=-2x+b

    Let’s solve for b. We’ll do this by substituting the point into the equation and solving

    y=-2x+b

    *substitute point*

    -8=-2(4)+b

    *multiply -2 and 4*

    -8 = -8 +b

    *add 8 on both sides*

    0=b

    That will finish our equation. Our final equation is y=-2x+0, or simply y=-2x

    Hope this helps comment below for more questions :)
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