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Yakvenalex [24]
3 years ago
7

LOOK AT IMAGE WORTH 20 points!!!

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

y=-\frac{2}{3}x+\frac{19}{3}

Step-by-step explanation:

Lines that are perpendicular to each other have opposite reciprocal slopes. So, in this case, the slope that is perpendicular to 3/2 would be -2/3. In order for the line with that slope to pass (-4,9), we would need to plug in the coordinate point and solve for the y-intercept:

y=mx+b

y=-\frac{2}{3}x+b

9=-\frac{2}{3}(-4)+b

9=\frac{8}{3}+b

\frac{19}{3}=b

Therefore, the equation in slope-intercept form would be y=-\frac{2}{3}x+\frac{19}{3}

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