Answer:
The equation of the line in the slope-intercept form will be:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
From the attached graph, taking two points
Finding the slope between (0, 0) and (-10, 70)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(-10,\:70\right)[/tex]
[tex]m=\frac{70-0}{-10-0}[/tex]
[tex]m=-7[/tex]
Determining the y-intercept:
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear that:
at x = 0, y = 0
Thus, the y-intercept b = 0
Now, substituting m = -7 and b = 0 in the slope-intercept form
y = mx+b
y = -7x + 0
y = -7x
Therefore, the the equation of the line in slope-intercept form will be:
