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Please please help me 30 points if you can I need the answer I know how to do it I just suck with the fractions

Please please help me 30 points if you can I need the answer I know how to do it I-example-1
User Jaume
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2 Answers

9 votes

Answer:

1

Explanation:


\text{Given that,}~ (x_1,y_1) = (-2,4)~ \text{and}~ \text{slope,}~ m = -\frac 32\\ \\\text{Equation of line,}~\\\\~~~~~~~y -y_1 = m(x-x_1)\\\\\implies y -4 =-\frac 32(x+2)\\\\\implies y-4 =-\frac 32x - 3\\\\\implies y = -\frac 32x -3 +4\\\\\implies y = -\frac 32x +1

User Dan Jagnow
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8.6k points
7 votes

The current equation of the perpendicular line;

⇒ is the slope-intercept form:
y= mx + b

  • m: is the coefficient in front of the x, which is also the slope's value
  • b: y-intercept of the function

Now for the point-slope form, we need a point on the line and the slope of the line:

⇒ we have

  • slope = -3/2
  • point: (-2,4)

Since this is the point-slope form:
(y-y_1)=m(x-x_1)

⇒ where the (x₁,y₁) is the point on the line and m is the slope


= > Equation: (y-4)=-(3)/(2)(x+2)

To convert the equation to slope-intercept form:

⇒ must isolate 'y' to one side and everything to the other side


y= -(3)/(2)(x+2)+4\\ y=-(3)/(2) x-3+4\\y=-(3)/(2)x+1

Answer:
y = -(3)/(2)x+1

Hope that helps!

User Sbonami
by
7.9k points

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