Answer:
[tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
Step-by-step explanation:
The slope-intercept form of a line is given as:
[tex]y=mx+b[/tex]
Here, the coefficient of [tex]x[/tex] represents the slope of the line.
The coefficient of [tex]x[/tex] is [tex]m[/tex] and hence the slope.
y-intercept is the value of [tex]y[/tex] for which is [tex]x[/tex] is 0.
Now, if we put [tex]x[/tex] as 0 in the above equation, we get
[tex]y=m(0)+b\\ y=0+b\\ y=b[/tex]
Therefore, y-intercept is [tex]b[/tex].
Hence, for the line with slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
