Point-slope form of equation is: [tex]y - 7 = -15(x-1)[/tex]
Step-by-step explanation:
Given points are:
(2,-8) and (1,7)
First of all we have to calculate the slope of the line
so,
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15[/tex]
Point-slope form is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Putting the value of slope
[tex]y-y_1 = -15(x-x_1)[/tex]
We can put any one of two given points in the equation to find the final form of point-slope form
So
Putting (1,7) in the equation
[tex]y - 7 = -15(x-1)[/tex]
Hence, point-slope form of equation is: [tex]y - 7 = -15(x-1)[/tex]
Reducing and simplifying
[tex]y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8[/tex]
Keywords: Point-slope form, equation of line
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