Which equation represents a line that passes through (–2, 4) and has a slope of 2/5? y – 4 = 2/5 (x 2) y 4 = 2/5 (x – 2) y 2 = 1/3 (x – 4) y – 2 = 1/3 (x 4)
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)
Answer:
The required equation of line is:
\(y-4=\frac{2}{5}(x+2)\)
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:
\(y-y_1=m(x-x_1)\)
Where m is the slope of the line.
here, \(y_1=4,x_1=-2\)
On substituting the values we get:
\(y-4=\frac{2}{5}(x-(-2))\)
\(y-4=\frac{2}{5}(x+2)\)
Therefore, the required equation of line is:
\(y-4=\frac{2}{5}(x+2)\)
Therefore, option 1 is correct.