Answer:
The equation of line in point-slope form is: [tex]y-7 = -7(x+5)[/tex]
Step-by-step explanation:
Given points are:
(x1,y1) = (-5,7)
(x2,y2) = (-4,0)
Point slope form of equation is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is the slope
The slope is calculated using the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values we get
[tex]m = \frac{0-7}{-4+5}\\m = \frac{-7}{1}\\m = -7[/tex]
Putting in the equation we get
[tex]y-y_1 = -7(x-x_1)[/tex]
Putting (-5,7) in the equation
[tex]y - 7 = -7\{x-(-5)\}\\y-7 = -7(x+5)[/tex]
Hence,
The equation of line in point-slope form is: [tex]y-7 = -7(x+5)[/tex]
