Equation in slope intercept form and in standard form for (-2,6) and parallel to x3y=5 will be x + 3y = 10
Given equation => x + 3y = 5
3y = -x + 5 so, we have to write it in the equation form,
y = -(1/3)x + 5/3
slope = -1/3 Parallel lines have the same slope.
Now, you have a point and a slope, so use the Point-Slope form of the equation of a line.
y - y1 = m(x - x1) , by using the equation of line
y - 6 = (-1/3)(x - 2), then we get
y - 4 = (-1/3)x + 2/3
y = (-1/3)x + 3 1/3 Slope-intercept Form
(1/3)x + y = 10/3 Multiply both sides by 3.
x + 3y = 10 Standard form
So, the equation is x + 3y = 10
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