The point-slope form of the line is [tex]y-19=2(x-5)[/tex].
Important information:
- A line passes through the two points [tex](5,19)[/tex] and [tex](-5,-1)[/tex].
- Use the first point in the equation.
We need to find the point-slope equation for the line
Point-slope equation:
The point-slope form of a line that passes though the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute [tex]x_1=5,y_1=19,x_2=-5,y_2=-1[/tex].
[tex]y-19=\dfrac{-1-19}{-5-5}(x-5)[/tex]
[tex]y-19=\dfrac{-20}{-10}(x-5)[/tex]
[tex]y-19=2(x-5)[/tex]
Thus, the point-slope form of the line is [tex]y-19=2(x-5)[/tex].
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