What is the y-intercept of the line perpendicular to the line y = negative three fourthsx + 5 that includes the point (−3, −3)? A.) negative three fourths B.) 1 C.) 7 D.) negative twenty one fourths

y-intercept = 1

Step-by-step explanation:

A line that is perpendicular to another will have a slope that is a negative reciprocal. Since the slope is -3/4, the perpendicular slope is 4/3. Point-slope formula should be used for this problem to get it into y = mx + b form. It is: y - y1 = m (x - x1)

Plug in the values:

y + 3 = 4/3 (x + 3)

Distribute

y + 3 = 4/3x + 4

Subtract 3 from both sides

y = 4/3x + 1

It is now in y = mx + b form. B is the y-intercept. Here, b is 1.

I hope this helps :)

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