in the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?
-
A.
y = x + 5 -
B.
y = -x + 5 -
C.
y = x – 5 -
D.
y = -x – 5
Correct Answer: Option B
Explanation
(x1, y1) = (0,5)
(x2, y2) = (5, 0)
Using (frac{y – y_1}{y_2 – y_1} = frac{x – x_1}{x_2 – x_1})
(frac{y – 5}{0 – 5} = frac{x – 0}{5 – 0})
(frac{y – 5}{-5} = frac{x}{5})
5(y – 5) = -5x
y – 5 = -x
x + y = 5
y = -x + 5
There is an explanation video available below.