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

4=7/4*4-3

Step-by-step explanation:

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