Question
Use point-slope form to write the equation of a line that passes through the point
slope -5 .
slope -5 .
Ask by Brewer Fuentes. in the United States
Jan 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation of the line in point-slope form is
Solution
To write the equation of a line using the point-slope form, follow these steps:
Point-Slope Form Formula
The point-slope form of a linear equation is:
Where:
-
is the slope of the line. -
is a point on the line.
Given Information
-
Point:
Here,and . -
Slope:
Substitute the Given Values into the Formula
Plugging the given slope and point into the point-slope formula:
Simplify the Equation
First, simplify the expression inside the parentheses:
This is the equation of the line in point-slope form.
Final Answer
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To write the equation of a line in point-slope form, you can use the formula
This gives you the point-slope equation:
Now, shifting gears, did you know that the concept of slope has a fascinating history? Ancient civilizations, like the Greeks, studied the steepness of slopes in their architectural designs, leading to the foundations of geometry. The term “slope” didn’t even arise until the 18th century, showcasing how essential yet underappreciated this mathematical concept has been through time.
Speaking of real-world applications, you can find slope equations everywhere! Engineers use them to design roads and ramps, ensuring safe inclines for cars and people alike. Architects rely on slope to create buildings that drain rainwater effectively. So the next time you drive up a hill or walk into a building, just think of the point-slope form working behind the scenes to keep things safe and functioning smoothly!
