Answer:
Equation: y = 1/5x - 2
Slope (m): 1/5
The graph of the line equation y = 1/5x - 2 is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
Given the ordered pairs
Finding the slope between the points (5, -1) and (-5, -3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-3\right)[/tex]
[tex]m=\frac{-3-\left(-1\right)}{-5-5}[/tex]
Refine
[tex]m=\frac{1}{5}[/tex]
Thus, the slope (m) = 1/5
Also given that the y-intercept b = -2
Now, substituting m = 1/5 and y-intercept b = -2 in the slope-intercept form
y = mx+b
y = 1/5x + (-2)
y = 1/5x - 2
Therefore, the equation of the line is:
The graph of the line equation y = 1/5x - 2 is also attached below.
