Answer:
The equation of line that passes through (1, 2) and (8,9) in slope-intercept form is: [tex]y = x+1[/tex]
Step-by-step explanation:
The slope-intercept form of line is given by the formula:
[tex]y = mx+b[/tex]
Here m is the slope and b is the y intercept
Given
[tex](x_1,y_1) = (1,2)\\(x_2,y_2) = (8,9)[/tex]
First of all, the slope has to be found
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{9-2}{8-1}\\m = 1[/tex]
Putting m=1 in the equation
[tex]y = x+b[/tex]
Putting the point (1,2) in the equation to find the value of b
[tex]2 = 1+b\\b = 2-1\\b = 1[/tex]
The equation is:
[tex]y = x+1[/tex]
Hence,
The equation of line that passes through (1, 2) and (8,9) in slope-intercept form is: [tex]y = x+1[/tex]
