Accepted Answer
An equation of this line shown in the graph in slope-intercept form is y = 0.75x + 5 or 3x/4 + 5.How to calculate the slope-intercept form of the equation?Mathematically, the slope-intercept form of a line can be calculated by using this equation:y = mx + cWhere: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 = 30/40Slope, m = 3/4 or 0.75At point (60, 50), the intercept is given by:y = mx + c50 = 0.75(60) + c50 = 45 + cIntercept, c = 50 - 45Intercept, 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#SPJ1