At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Write an equation of the line in point-slope form that is perpendicular to the given line
and passes through the given point.
y = −3x + 4; (−1, 3)


Sagot :

Answer:

[tex]y-3=\frac{1}{3}(x+1)[/tex]

Step-by-step explanation:

The slope of a perpendicular line is the negative reciprocal of the original slope. Here, it's -3 and 1/3. Another example would be 2 and -1/2.

Next, point slope form is:

[tex](y-y_1)=m(x-x_1)[/tex]

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

We're given that point, and we've found the slope above, so the equation is:

[tex]y-3=\frac{1}{3}(x+1)[/tex]

View image cinderofsoulsss