SOLUTION: write an equation in slope-intercept form of the line having the given slope and passing through the given point: m=0,(0,-3)

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Question 396695: write an equation in slope-intercept form of the line having the given slope and passing through the given point: m=0,(0,-3)
Answer by MathLover1(7480)   (Show Source):
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 Solved by pluggable solver: FIND a line by slope and one point What we know about the line whose equation we are trying to find out: it goes through point (0, -3) it has a slope of 0 First, let's draw a diagram of the coordinate system with point (0, -3) plotted with a little blue dot: Write this down: the formula for the equation, given point and intercept a, is (see a paragraph below explaining why this formula is correct) Given that a=0, and , we have the equation of the line: Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: . Here's the graph: