The equation for a line in point slope form is:
y - y1 = m*(x - x1)
For the point (-7,6) on the line, x1 = -7 and y1 = 6. We're also told that the slope, m, is zero. So lets plug those values into the equation:
y -...
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The equation for a line in point slope form is:
y - y1 = m*(x - x1)
For the point (-7,6) on the line, x1 = -7 and y1 = 6. We're also told that the slope, m, is zero. So lets plug those values into the equation:
y - 6 = 0*(x - (-7)) --> y - 6 = 0
or y = 6
Of course, any line that has a slope of zero is a horizontal line. Since we knew that the line passes through the point (-7,6), we already knew without doing the math that the equation had to be y = 6.