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slavikrds [6]
3 years ago
5

Write the equation of the line with the given point and slope. (4,4); slope= 7/4

Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

4=7/4*4-3

Step-by-step explanation:

Since the equation for a line is <em>y=mx+b </em>(where <em>m </em>is the slope and <em>b </em>is the y-intercept), we can fill in part of the equation with the coordinates. So far we have- <em>4=m4+b. </em>We can then add the slope into the equation, turning it to <em>4=7/4*4+b. </em>To find the y-intercept, you replace <em>x </em>with zero and solve for <em>y. So, </em>lets multiply <em>7/4 </em>and <em>4 </em>and simplify the equation to <em>4=(7*4)/4+b.</em> Next, we'll simplify the right side, turning the equation to <em>4=7+b. </em>Now, all we have to do is subtract <em>7 </em>from the right side of the equation, leaving us with the result of <em>b=-3.</em> We'll add that into our equation now, giving us our answer of 4=7/4*4-3

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Step-by-step explanation:

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