Option B:
The equation of a line in point-slope form is y + 2 = –2(x – 4).
Solution:
The point on the line is (4, –2).
Take another point on the graph is (3, 0).
Here, [tex]x_1=4, y_1=-2, x_2=3, y_2=0[/tex]
To find the slope of the line:
[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$m=\frac{0-(-2)}{3-4}[/tex]
[tex]$m=\frac{0+2}{-1}[/tex]
m = –2
Let us write the point-slope form of the equation of a line:
Here the point is (4, –2). That is [tex]x_1=4, y_1=-2[/tex].
Point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-2(x-4)[/tex]
[tex]y+2=-2(x-4)[/tex]
The equation of a line in point-slope form is y + 2 = –2(x – 4).
Hence Option B is the correct answer.
Answer:
Option B
Step-by-step explanation:
The equation of a line in point-slope form is y + 2 = –2(x – 4)
