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The equation of the line, in slope-intercept form, containing the point ( 5,2. 2) and (9,2. 6) is y=0.025x+2.375 where 0.025 is the value of slope and 2.375 is the y-intercept.
What is an example of a slope intercept form?
Take into account the slope-intercept form of the equation y = 6 x + 9 y=6x+9. The x and y intercepts are known. When x = 0, the y-intercept also happens, and when y equals 0, the x-intercept also happens. By setting the value of y to 0, we may find the x-intercept.
What is the slope and y-intercept?
The values of the slope and y-intercept reveal details of the relationship between the two variables, x and y. The slope shows how quickly y changes for every unit change in x. When the x-value is 0, the y-intercept shows the y-value.
To calculate the equation of line containing points (5,2.5) and (9,2.6) we will use the formula y=mx+b
Here, m = (y2-y1)/(x2-x1)
So, m = (2.6-2.5)/(9-5)
m= 1/40
m=0.025
Now finding b by using formula y=mx+b using x= 5 and y= 2.5
2.5=(0.025)(5)+b
2.5=(0.125)+b
b=2.375
so equation of line is y=0.025x+2.375 in slope-intercept form.
To learn more about slope-intercept form visit:
https://brainly.com/question/1884491
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