Question

The equation of a line in slope intercept form that is perpendicular to y=-1/3 x +5 and goes through the point (-1,3)

Answer 1

Answer:

y = 3x + 6

Step-by-step explanation:

The general equation of a line is;

y = mx + b

where m is the slope and b is the y intercept

The slope of the first line is -1/3

when two lines are perpendicular, the product of their slopes is equal to -1

Thus;

-1/3 * m2 = -1

-m2 = -3

m2 = 3

So the equation of the second line is;

y = 3x + b

To get b, we substitute the coordinates of the point (-1,3)

We substitute -1 for x and 3 for y

so, we have;

3 = 3(-1) + b

3 = -3 + b

b = 3 + 3

b = 6

So we have the second equation as;

y = 3x + 6