Mathematics
Grade10
Easy
Question
Write the equation of the line that passes through the points (1, 2) and (-2, 5).
- y=x+3
- y=-x+3
- y=-x+1
- y=3x+3
Hint:
slope m of line given points ( x1 , y1 ) and ( x2 , y2) is 
for intercept solve for b and put x and y and slope.
The correct answer is: y=-x+3
The points that lie on the line are (1, 2) and (-2, 5).
Slope of line =
=
= -1
Let the y-intercept be b
The slope-intercept form of equation of the line is y=mx+b
Let us substitute x=0
5= -2(-1)+b
b= 5-2
b= 3
So, the equation of the line is y=−x+3
given two points first find slope then
using slope and one point find intercept.
