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Find the X and Y intercepts of the line that passes through the given points (-6,4), (3,-5)
Find the X and Y intercepts of the line that passes through the given points (-6,4), (3,-5)
Answers
Answered by
Damon
slope = m = [ -5 - 4 ] / [ 3 - -6]
= -9/9
= -1
so
y = -x + b
4 = 6 + b
so
b = -2
so equation is
y = -x -2
x axis intercept when y = 0
so (-2,0)
y axis intercept when x = 0
so (0, -2)
= -9/9
= -1
so
y = -x + b
4 = 6 + b
so
b = -2
so equation is
y = -x -2
x axis intercept when y = 0
so (-2,0)
y axis intercept when x = 0
so (0, -2)
Answered by
Bosnian
In this case :
x1 = - 6 , y1 = 4
x2 = 3 , y2 = - 5
Equation of a straight line from 2 points :
y = y1 + [ ( y2 - y1 ) / ( x2 - x1 ) ] ( x - x1 )
y = 4 + [ ( - 5 - 4 ) / ( 3 - ( - 6 ) ) ] ( x - ( - 6 ) )
y = 4 + [ ( - 9 ) / ( 3 + 6 ] ( x + 6)
y = 4 + [ ( - 9 ) / 9 ] ( x + 6)
y = 4 + ( - 1 ) ( x + 6)
y = 4 + [ - 1 * x + ( - 1 ) * 6 ]
y = 4 - x - 6
y = - x - 2
x - intercept is a point on the graph where y = 0
y - intercept is a point on the graph where x = 0
So :
x - intercept
y = - x - 2 = 0
- x - 2 = 0 Add 2 to both sides
- x - 2 + 2 = 0 + 2
- x = 2 Multiply both sides by - 1
x = - 2
Coordinates of x - intercept :
x = - 2 , y = 0
OR
( - 2 , 0 )
y - intercept
y = - x - 2
x = 0
y = - ( 0 ) - 2 = 0 - 2 = - 2
Coordinates of y - intercept :
x = 0 , y = - 2
OR
( 0 , - 2 )
x1 = - 6 , y1 = 4
x2 = 3 , y2 = - 5
Equation of a straight line from 2 points :
y = y1 + [ ( y2 - y1 ) / ( x2 - x1 ) ] ( x - x1 )
y = 4 + [ ( - 5 - 4 ) / ( 3 - ( - 6 ) ) ] ( x - ( - 6 ) )
y = 4 + [ ( - 9 ) / ( 3 + 6 ] ( x + 6)
y = 4 + [ ( - 9 ) / 9 ] ( x + 6)
y = 4 + ( - 1 ) ( x + 6)
y = 4 + [ - 1 * x + ( - 1 ) * 6 ]
y = 4 - x - 6
y = - x - 2
x - intercept is a point on the graph where y = 0
y - intercept is a point on the graph where x = 0
So :
x - intercept
y = - x - 2 = 0
- x - 2 = 0 Add 2 to both sides
- x - 2 + 2 = 0 + 2
- x = 2 Multiply both sides by - 1
x = - 2
Coordinates of x - intercept :
x = - 2 , y = 0
OR
( - 2 , 0 )
y - intercept
y = - x - 2
x = 0
y = - ( 0 ) - 2 = 0 - 2 = - 2
Coordinates of y - intercept :
x = 0 , y = - 2
OR
( 0 , - 2 )
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