Based on the calculations, the equation of this line in standard form is equal to 6x - 11y = 13.
Given the following data:
Mathematically, the equation of a line in standard form is given by this formula:
y - y₁ = m(x - x₁)
Where:
Next, we would determine the slope of this line:
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope = \frac{-1\;-\;2}{-4\;-\;1.5}\\\\Slope = \frac{-3}{-5.5}[/tex]
Slope = 6/11.
For the equation of this line, we have:
y - 2) = 6/11(x - 3/2)
y - 2 = 6x/11 - 9/11
11y - 22 = 6x - 9
6x - 11y = -9 + 22
6x - 11y = 13.
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Complete Question:
What is the equation of this line in standard form (1 1/2, 2) (-4, -1)?
