The equation for the line through the point (1,2) with m = -3/4 is y = -3 / 4 x + 11 /4
The equation for the line through (-2,1) & (3,4) is y = 3 / 5x + 11 / 5
The equation of a line in slope intercept form is as follows:
y = mx + b
where
Therefore, the equation for the line through the point (1,2) with m = -3/4 is as follows:
y = - 3 / 4 x + b
2 = -3 / 4(1) + b
b = 2 + 3 / 4 = 8 + 3 /4 = 11 / 4
b = 11 / 4
Hence,
y = -3 / 4 x + 11 /4
The equation of the line that passes through (-2, 1)(3, 4)
m = 4 - 1 / 3 + 2 = 3 / 5
Therefore,
1 = 3 / 5 (-2) + b
1 + 6 / 5 = b
b = 1 + 6 / 5 = 5+6 / 5 = 11 / 5
b = 11 / 5
y = 3 / 5x + 11 / 5
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