The slope-intercept form of line passing through (5,3) and (0,2) is: [tex]y=\frac{1}{5}x+2[/tex]
Step-by-step explanation:
Given points are:
(5,3) and (0,2)
We have to find the slope first.
(x1,y1) = (5,3)
(x2,y2) = (0,2)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{2-3}{0-5}\\=\frac{-1}{-5}\\=\frac{1}{5}[/tex]
The general form of slope-intercept form is:
[tex]y=mx+b[/tex]
Putting the value of m
[tex]y=\frac{1}{5}x+b[/tex]
To find the value of b, putting (5,3) in equation
[tex]3=\frac{1}{5}(5)+b\\3=1+b\\b=3-1\\b=2[/tex]
Putting the values of b and m
[tex]y=\frac{1}{3}x+2[/tex]
The slope-intercept form of line passing through (5,3) and (0,2) is: [tex]y=\frac{1}{5}x+2[/tex]
Keywords: Slope, Equation of line
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