Verified by Ajay Kumar
A line passes through the point (5, 7) and has a slope of -1. What is the equation of the line?
\(y=-x+12\)
\(y=\frac{x}{5}+19\)
\(y=-2x-4\)
\(y=4x-6\)
Answer: A
Use the point-slope form \(y-y_1=m(x-x_1)\). Given \((x_1,y_1)=(5,7)\) and \(m=-1\), \(y-7=-(x-5)\). Expanding gives \(y-7=-x+5\), so \(y=-x+12\). Trick: Substitute the point and slope directly into the point-slope formula.
एक रेखा बिंदु (5, 7) से होकर गुजरती है और इसकी ढलान -1 है। रेखा का समीकरण क्या है?
\(y=-x+12\)
\(y=\frac{x}{5}+19\)
\(y=-2x-4\)
\(y=4x-6\)
उत्तर: A
बिंदु-ढाल सूत्र \(y-y_1=m(x-x_1)\) का प्रयोग करें। दिया है \((x_1,y_1)=(5,7)\) और \(m=-1\)। इसलिए \(y-7=-(x-5)\)। विस्तार करने पर \(y-7=-x+5\), अतः \(y=-x+12\)। ट्रिक: बिंदु और ढाल को सीधे बिंदु-ढाल सूत्र में रखें।
Community answers
Votes use a first-party browser cookie to help prevent repeat votes. Votes indicate helpfulness, not correctness.
No community answers yet. Be the first to share how you solved it.
Share your solution
Help other learners understand the steps. Your answer will be reviewed before it appears.