Answer :
Answer: y = 3x - 11
Step-by-step explanation:
First, let's find the slope of the line
y=3x+2
As the equation is already in slope-intercept form y=mx+c ,
Slope = 3
Let a point
(x,y) be on the new line.
By finding the slope again,
y+5/ x−2=3
y+5=3(x−2)
y+5=3x−6
Slope-intercept form:
y=3x−11
Answer:
y = 3x -11
Step-by-step explanation:
First, rewrite the equation in standard form (Ax + By = C)
y=3x+2
3x - y = -2
To find the slope (m) of this line, it is equal to - A /B.
m = - 3 / -1
= 3
Parallel lines have equal slopes, so the new line also has a slope of 3.
Using point-slope form y-y1 = m(x-x1) ,
we can find the equation of the line.
y - (-5) = 3 ( x- 2)
y + 5 = 3x - 6
3x - y = 11
Slope-intercept form is y = mx + c
c is the y-intercept, which we have yet to find.
In y-intercept, x must be 0.
3(0) - y =11
y = -11
Therefore, the equation required will be:
y = 3x -11