Step-by-step explanation:
Slope intercept form of an equation is written as;
y=mx+b where m is the slope of the line and b is the y-intercept
Given points (3,19) and (8,42) find m as;
m=Δy/Δx
Δy=42-19=23
Δx=8-3=5
m=23/5
Finding the equation of the line where m=23/5, point (3,19) and (x,y)
m=Δy/Δx
23/5=y-19/x-3
cross product
23(x-3) = 5(y-19)
23x-69=5y-95
23x=5y-95+69
23x=5y-26
23x+26=5y
23x/5 +26/5 =5y/5
23/5 x +26/5 =y
⇒⇒ y=23/5x +26/5
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Slope-intercept form of an equation :brainly.com/question/12005129
Keywords :scatter plot, data, years, line of fit, points
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