Write the equation of the line which has a y-intercept (0,5)?

Question

and is perpendicular to the line with equation y = -3x +1.

Answer 1

y = 1/3x + 5

Answer 2

y = mx + b

y = -3x + 1 (slope is -3, y-intercept is 1)

Perpendicular lines have slopes of -1/m with respect to each other.

Answer : y = 1/3x + 5 (slope is 1/3, y-intercept is 5)

Answer 3

The equation of line is given by :

y= mx + c

where m=slope of the line
c = y-intercept

Now since we dont know slope, we have to find it first.

we can find that from the line perpendicular to it(given)
y=mx+c
y=-3x+1 (given)

so the slope of given equation is -3
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the slope of line u r finding will be m=1/3

so the equation u want to find is y=1/3x + 5

Answer 4

y=mx+b, b is the intercept = 5 and m is the slope. Slope is rise orver run say, -3/1 so perpendicular is m = 1/3.

Answer 5

The slope must be the negative reciprocal of -3, so it would be 1/3
Slope = rise / run = (y1-y2) / (x1-x2)
1/3 = (y - 5) / (x - 0)
Cross-multiplication:
3(y-5) = 1(x-0)
3y - 15 = x
3y = x + 15
y = 1/3x + 5