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Sagot :
Answer:
y - 4 = 2/3 (x + 1)
Explanation:
The point-slope equation has the following form:
[tex]y-y_0=m(x-x_0)[/tex]Where (x0, y0) is a point and m is the slope of the line.
The slope can be calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1, y1) and (x2,y2) are two points in the line.
So, replacing (x1, y1) by (-1, 4) and (x2, y2) by (-4, 2), we get:
[tex]m=\frac{2-4}{-4-(-1)}=\frac{-2}{-4+1}=\frac{-2}{-3}=\frac{2}{3}[/tex]Then, replacing m by 2/3 and (x0, y0) by (-1, 4), we get that the equation of the line is:
[tex]\begin{gathered} y-4=\frac{2}{3}(x-(-1)) \\ y-4=\frac{2}{3}(x+1) \end{gathered}[/tex]So, the answer is:
y - 4 = 2/3 (x + 1)
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