Respuesta :
Equation of a line is given by y - y1 = m(x - x1); where m is the slope.
y - 4 = 2/5 (x - (-2))
y - 4 = 2/5 (x + 2)
y - 4 = 2/5 (x - (-2))
y - 4 = 2/5 (x + 2)
Answer:
The required equation of line is:
[tex]y-4=\frac{2}{5}(x+2)[/tex]
Therefore, option 1 is correct.
Step-by-step explanation:
We have been given a slope and a point
And we need to form the equation of line
We will use the formula for equation of line which is:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope of the line.
here, [tex]y_1=4,x_1=-2[/tex]
On substituting the values we get:
[tex]y-4=\frac{2}{5}(x-(-2))[/tex]
[tex]y-4=\frac{2}{5}(x+2)[/tex]
Therefore, the required equation of line is:
[tex]y-4=\frac{2}{5}(x+2)[/tex]
Therefore, option 1 is correct.