The equation of line is: 2x-7
Step-by-step explanation:
Given points are:
(1,-5) = (x1,y1)
(9,11) = (x2,y2)
The slope-intercept form of equation of line is given by:
[tex]y=mx+b[/tex]
Calculation of slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{11+5}{9-1}\\=\frac{16}{8}\\=2[/tex]
Putting the value of slope
[tex]y=2x+b[/tex]
Putting (9,11) in the equation
[tex]11=2(9)+b\\11=18+b\\b=11-18\\b=-7[/tex]
Putting the values of b and m
[tex]y=2x-7[/tex]
The equation of line is: 2x-7
Keywords: Equation of line, Slope-intercept form
Learn more about slope-intercept form at:
- brainly.com/question/1859222
- brainly.com/question/1993757
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