Question

Write an equation in slope-intercept form: (1,6) and (2,3) are on the line

Answer 1

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

$m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3$

Substitute x = 1 and y = 6 into equation,

$6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9$

Therefore substituting m and c value, equation of line is

$y = - 3x + 9$