```Question 595653
Write the equation of a line whose slope is -2 and whose y-intercept is (0,5).
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Hi, there--
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It's good that you are making sure that you know how to do this type of problem. This is a big idea in algebra and one that you will use over and over.
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We can write linear equations in several different forms, but the most useful form for this problem is the slope-intercept form, y=mx+b. In this form, m represents the slope of the line and b represents the y-value of its y-intercept.
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Let's start building your equation. The slope of your line is -2 so we replace m with -2.
{{{y=mx+b}}}
{{{y=-2x+b}}}
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The y-intercept for your line is (0,5). Think about the point (0,5) for a moment. This point is located right on the y-axis at positive 5. The graph of your line crosses the y-axis at this point. This means that b is 5 in your equation. Replace b with 5 and you will have the whole equation.
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{{{y=-2x+b}}}
{{{y=-2x+5)}}}
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That's it! Feel free to email is this explanation is unclear.
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Good luck,
Ms.Figgy
math.in.the.vortex@gmail.com```