Find the equation of the straight line passing through the point (0,-1) which is perpendicular to the line y=-3/4x-3

The equation of the line would be y = 4/3x - 1

Step-by-step explanation:

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of -3/4, we know the new line will have a slope of 4/3. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 1 = 4/3(x - 0)

y + 1 = 4/3x

y = 4/3x - 1

2

step-by-2step explanation:

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