Answer:
The equation of the line is y = -4·x + 16
10 points on the line include;
(0, 16), (1, 12), (2, 8), (3, 4), (4, 0), (5, -4), (6, -8), (7, 12), (8, -16), (9, -20), and (10, -24)
Explanation:
The given points through which the line passes are;
(4, 0) and (3, 4)
The slope, 'm', of the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, the slope of the line is (4 - 0)/(3 - 4) = -4
In point and slope form we can get;
[tex]\dfrac{y-0}{x-4} = -4[/tex]
The equation of the line in point and slope form is therefore;
y = -4·(x - 4) = -4·x + 16
The equation of the line in slope and intercept form is
y = -4·x + 16
10 points on the line are obtained using the equation of the line and the desired x-values input into cells on MS Excel and presented here as follows;
(0, 16), (1, 12), (2, 8), (3, 4), (4, 0), (5, -4), (6, -8), (7, 12), (8, -16), (9, -20), and (10, -24)
