Respuesta :
y=mx+b
m=slope
slopes of parallel lines are the same
y=3/4x+2
the slope is 3/4
the slope of a line parallel to that is 2/3
m=slope
slopes of parallel lines are the same
y=3/4x+2
the slope is 3/4
the slope of a line parallel to that is 2/3
Answer:
Step-by-step explanation:
Given equation of line [tex]y=\frac{3}{4}x+2[/tex]
We have to find the slope of a line that is parallel to the given line.
Since any line parallel to the given line [tex]y=\frac{3}{4}x+2[/tex] will have same slope as that of given line
The general equation of line is given as y = mx + c
where. m is slope of line and c is y - intercept.
Thus for given equation of line [tex]y=\frac{3}{4}x+2[/tex]
Comparing , we get
slope is [tex]m=\frac{3}{4}[/tex]
Thus, any line with slope [tex]\frac{3}{4}[/tex] is parallel to the given line [tex]y=\frac{3}{4}x+2[/tex]
