Final answer:
The value of 'y' can be found by using the equation of a line in the slope-point form. By substituting the given points and slope into the equation, it's determined that the value of 'y' is -2.
Step-by-step explanation:
The subject of the question is to find the value of y when a line passes through two given points with a given slope. In this case, the line passes through (−3,y) and (−5,4), with a slope (m) equal to −3. The equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
We can substitute the given values into this equation. Given that m=−3, (x1, y1) = (−3, y) and (x2, y2) = (−5, 4), we can find the value of y using the formula, y - y2 = m(x - x2).
Substituting given co-ordinates and slope into the formula gives: y - 4 = -3(-3 - (-5)). This simplifies to y - 4 = -3(-3 + 5) = -3 * 2 = -6. So, the equation becomes y = -6 + 4 = -2. Thus, the value of y is -2.
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