Answer:
We conclude that the equation of the line in the form will be:
Step-by-step explanation:
From the given graph, taking two points
- (0, 0)
- (10, 5)
Important Tip:
The slope-intercept form of the line equation
where
represents the slope
represents the y-intercept
1 of 3 steps:
Determine the slope
We need to find the slope of the line containing the points (0, 0) and (10, 5)
where is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
- (x₁, y₁) = (0, 0)
- (x₂, y₂) = (10, 5)
substituting (x₁, y₁) = (0, 0) and (x₂, y₂) = (10, 5) in the slope formula
Refine
Thus, the slope of the line containing the points (0, 0) and (10, 5) is:
2 of 3 steps:
Determine the y-intercept
We can determine the y-intercept by determining the value of y at x = 0.
From the graph, it is clear that at x = 0 the value of y = 0.
Thus, the y-intercept of the line is:
3 of 3 steps:
Substitute the values in the slope-intercept form
Substitute the values and
in the slope-intercept form
Conclusion:
Therefore, we conclude that the equation of the line in the form will be: