The slope-intercept form: y= mx + b
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (6, 2) and (5, 5). Substitute:
[tex]m=\dfrac{5-2}{5-6}=\dfrac{3}{-1}=-3[/tex]
Therefore we have y = -3x + b.
Put the coordinates of the point (5, 5) to the equation:
5 = -3(5) + b
5 = -15 + b add 15 to both sides
20 = b
Answer: y = -3x + 20
