Answer:
[tex]y=-\frac{3}{4}x+2[/tex]
Step-by-step explanation:
The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.
Slope of given line= [tex]-\frac{3}{4}[/tex]
Parallel lines have the same slope. Thus, the slope of the line would also be [tex]-\frac{3}{4}[/tex].
[tex]y=-\frac{3}{4}x +c[/tex]
The value of c can be found by substituting a pair of coordinates.
When x= 4, y= -1,
[tex]-1=-\frac{3}{4} (4)+c[/tex]
-1= -3 +c
Add 3 to both sides:
c= -1 +3
c= 2
Thus, the equation of the line is [tex]\bf{y=-\frac{3}{4}x+2[/tex].
Additional:
Do check out the following for a similar question on slope-intercept form!
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