9514 1404 393
Answer:
y = x +7
Explanation:
The slope of the given line can be found as ...
m = (y2 -y1)/(x2 -x1)
m = (3 -7)/(-1 -3) = -4/-4 = 1
Then the point-slope form of the equation for the desired line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y - 9 = 1(x -2)
y = x -2 +9
y = x + 7 . . . . slope-intercept form
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The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...
x -y = -7 . . . . desired line equation in standard form