Answer:
[tex]y = 4.2x[/tex] is a linear equation.
Step-by-step explanation:
The slope-intercept form of the line or linear equation is of the form
[tex]y = mx+b[/tex]
where
[tex]m[/tex] represents the slope
represents is the y-intercept
In our case, the given equation is
[tex]y = 4.2x[/tex]
comparing with the slope-intercept form of the line or linear equation
[tex]y = mx+b[/tex]
Thus,
- The slope of the equation will be: m = 4.2
- The y-intercept of the equation will be: b = 0
As the equation [tex]y = 4.2x[/tex] resembles the linear equation [tex]y = mx+b[/tex] of the line.
Hence, [tex]y = 4.2x[/tex] is a linear equation.
Please also check the attached graph of the linear equation [tex]y = 4.2x[/tex] .
Important Tips:
- We know that the graph of the linear equation is a straight line. Thus, the graph of the linear equation [tex]y = 4.2x[/tex] will be a straight line.
- As the y-intercept of the linear equation is zero, Thus, the line [tex]y = 4.2x[/tex] will pass through the origin (0, 0). It is also clear from the attached graph.
∴ [tex]y = 4.2x[/tex] is a linear equation.
