If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.
Question 1 Report
If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.
Answer Details
To find the equation of a straight line, we need to determine its slope and y-intercept. We can use the two given points to find the slope of the line using the formula:
slope (m) = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Plugging in the values of the two points A(3, 12) and B(5, 22), we get:
m = (22 - 12) / (5 - 3) = 10/2 = 5
Now we have the slope of the line. To find the y-intercept, we can use the fact that the line intersects the y-axis at 2. The y-intercept is the value of y when x is 0, so we can substitute x=0 and y=2 into the equation y = mx + b, where m is the slope and b is the y-intercept, to get:
2 = 5(0) + b
b = 2
Now we have the slope and y-intercept of the line. We can plug them into the equation y = mx + b to get:
y = 5x + 2
Therefore, the correct answer is:
- y = 5x + 2
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning