Answer:
Step-by-step explanation:
Assume that you have two distinct and nonvertical lines, ℓ 1 {\ell _1} ℓ1 and ℓ 2 {\ell _2} ℓ2 in Slope-Intercept Form. They are parallel lines if their slopes are equal or the same. They are perpendicular lines if their slopes are opposite reciprocals of each other, or the product of their slopes equals −1.
Answer is y= -1
The equation will be y = -1/3x + 1 in slope-intercept form.
The general equation of a line is y = mx + c
where m is the slope of the line and c is the intercept.
A linear equation is defined as an equation in which the highest power of the variable is always one.
First, we need to determine the slope of the given line.
To do this, we convert the equation to the slope/intercept form:
y − 5 = -1/3(x+2)
y = -1/3x -2/3 + 5
y = -1/3x - 13/3
So the slope of the given line is -13.
The line passes through the point (6,−1)
Now we can use the point-slope form of a line to create the equation of the new line:
(y + 1) = (-1/3) (x - 6)
y = -1/3x + 2 -1
y = -1/3x + 1
Hence, the equation will be y = -1/3x + 1 in slope-intercept form.
Learn more about the lines here:
brainly.com/question/2263981
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