Equation of a line passes through the point (8,-4) and has a slope 3/4 is: [tex]y=\frac{3}{4}x-10[/tex]
Step-by-step explanation:
Given
m = 3/4
And
Point =(8,-4)
Slope-intercept form of equation of line is:
[tex]y=mx+b[/tex]
Putting the value of slope we get
[tex]y=\frac{3}{4}x+b[/tex]
To find the value of b, putting (8,-4)
[tex]-4=\frac{3}{4}(8)+b\\-4=3*2 + b\\-4=6+b\\b=-4-6\\b=-10[/tex]
Putting the values of b and m, we get
[tex]y=\frac{3}{4}x-10[/tex]
Hence,
Equation of a line passes through the point (8,-4) and has a slope 3/4 is: [tex]y=\frac{3}{4}x-10[/tex]
Keywords: Equation of line, Slope
Learn more about Slope-intercept form is:
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