How do you write the equation of the line that passes through the points (1, 7) and (5, 15) using function notation?

1 Answer
Dec 8, 2016

The equation of the straight line is 2x-y+5=0.

Explanation:

The equation of a straight line*" that passes through the two points, (x_1,y_1) &(x_2,y_2) & whose slope is m** is:

y-y_1=m(x-x_1), or,
y-y_1=((y_2-y_1)/(x_2-x_1))(x-x_1).

So, the equation of the st.line which passes through the points (1,7) & (5,15) is:

y-7=((15-7)/(5-1))(x-1).
:.y-7=8/4(x-1).
:.y-7=2(x-1).
:.y-7=2x-2.
:.2x-y+5=0. (Answer).