A line in the xy-plane has slope –23 and contains the points (2,𝑦) and (5,4) . What is the value of y ?
Question
Solution 1
The slope of a line is given by the formula (y2 - y1) / (x2 - x1). In this case, the slope is -23, x1 is 2, x2 is 5, and y2 is 4. We are trying to find the value of y1, which we will call y for simplicity.
We can plug these values into the slope formula and solve for y:
-23 = (4 - y) / (5 - 2)
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