Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Step-by-step explanation:
Given equation of line is:
[tex]y=-0.75x[/tex]
The coefficient of x is the slope of the line so the slope of given line is: -0.75
As parallel lines have equal slopes so the required equation of line will have the same slope.
The slope-intercept form is:
[tex]y = mx+b[/tex]
Putting the value of the slope
[tex]y = -0.75x+b[/tex]
To find the value of b, putting the point in the equation
[tex]0 = -0.75(8)+b\\0 = -6+b\\b = 6[/tex]
Putting the values of m and b, we get
[tex]y = -0.75x-6[/tex]
Hence,
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Keywords: Equation of line, Slope-intercept form
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