Answer:
The equation of the line is:
[tex]y = 3x+3[/tex]
The graph is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
From the straight line on the graph, taking two points
Finding the slope between (0, 3) and (-1, 0)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [0 - 3] / [-1 - 0]
= -3 / -1
= 3
Thus, the slope of the line = m = 3
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
at x = 0, y = 3
Thus, the y-intercept b = 3
Now, substituting slope m = 3 and y-intercept b = 3 in the slope-intercept form
y = mx+b
y = 3x+3
Therefore, the equation of the line is:
[tex]y = 3x+3[/tex]
The graph is also attached.
