The correct answer is Option No. 2: y=-3x-5
Step-by-step explanation:
Given equation of line is:
y=-3x+4
The given equation is in slope-intercept form. In slope-intercept form, the co-efficient of x is the slope of the line
So, the slope of given line is -3
The slope of the required line will also be -3 as parallel lines have equal slopes.
The general form of slope-intercept form is:
[tex]y=mx+b[/tex]
Putting the value of slope
[tex]y=-3x+b[/tex]
To find the value of b, we will put the point in the equation
[tex]4 = (-3)(-3)+b\\4=9+b\\b=4-9\\b=-5[/tex]
Putting the values of b and m, we get
[tex]y=-3x-5[/tex]
Hence,
The correct answer is Option No. 2: y=-3x-5
Keywords: Equation of line, Slope-intercept form
Learn more about slope-intercept form at:
- brainly.com/question/7297385
- brainly.com/question/729447
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