Mathematics
Grade10
Easy
Question
Write the equation of the line that passes through the points (0, -5) and (4, 3).
- y=2x-5
- y=1/2x-5
- y=2x+5
- y=1/2x+5
Hint:
slope of the line is (m) =
where ( x2 , y2 ) and ( x1 , y1 ) are points given
now you have slope find intercept by using one point and slope of line .
The correct answer is: y=2x-5
Given points are (0, -5) and (4, 3).
Step1 : slope of the line is (m) = ![fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction](https://lh3.googleusercontent.com/8DuUUeT70P0kKgc9FgjiMr6dfS71y_MVXjBnkgyUtwY0u8rjbOOCllr0POQG_hLON6xGFZJtBVuFfKJPvWg6aHtgTmCTU7tvanX9nI_Z0A04s7bwPLDC3j4vQywg7flf5I71TuJLkHzclY_0ORSyIdMK3sDVbjTxiaqJ7g6pS9HC8AErRjyA8fm3Bg)
Slope of line =![left parenthesis 3 plus 5 right parenthesis divided by left parenthesis 4 minus 0 right parenthesis](data:image/png;base64,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)
=![8 divided by 4](data:image/png;base64,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)
= 2
Step 2 : Let the y-intercept be b
The slope-intercept form of equation of the line is y=mx+b
Since the line passes through (0, -5), so, the y-intercept of the line is -5
b= -5
So, the equation of the line is y=2x-5
if x = 0 , then the corresponding value of y will be intercept.