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<h3>Answer : y = ⅚x - 3</h3>════════════════════
<h3>Known</h3>x1 = 6
y1 = 2
x2 = (-6)
y2 = (-8)
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<h3>Question</h3>Equation of the line (y = mx + c)
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<h3>Way to do</h3>#First, you find the gradient (m)
#Now use the formula of equation of the line
y - y1 = m(x - x1)
y - 2 = ⅚(x - 6)
y - 2 = ⅚x - 5
y = ⅚x - 5+2
y = ⅚x - 3
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
Switch the sides
Divide both sides by 2 to isolate y
Now that this equation is in slope-intercept form, we can easily identify that is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope
. Plug this into
:
<u>2) Determine the y-intercept</u>
Plug in the given point, (4,0)
Subtract both sides by 6
Therefore, -6 is the y-intercept of the line. Plug this into as b:
I hope this helps!