An equation of this line shown in the graph in slope-intercept form is y = 0.75x + 5 or 3x/4 + 5.
<h3>How to calculate the slope-intercept form of the equation?</h3>
Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
- m represents the slope.
- x and y are the points.
- c represents the intercept.
From the graph of this line, we have the following parameters:
Point (x, y) = (60, 50)
Point (x, y) = (20, 80)
Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (80 - 50)/(20 - 60)
Slope, m = 30/40
Slope, m = 3/4 or 0.75
At point (60, 50), the intercept is given by:
y = mx + c
50 = 0.75(60) + c
50 = 45 + c
Intercept, c = 50 - 45
Intercept, c = 5.
Now, we can write the equation of this line in slope-intercept form as follows:
y = 0.75x + 5 or 3x/4 + 5.
Read more on slope here: brainly.com/question/14345501
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