The two-point form of a line passing through the points (x1 , y1 ) and ( x2 , y2 ) is given by:
y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 )
In this case:
x1 = 4 , y1 = 7
x2 = - 5 , y2 = - 5
y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 )
y - 7 = [ ( - 5 - 7 ) / ( - 5 - 4 ) ] * ( x - 4 )
y - 7 = ( - 12 / - 9 ) * ( x - 4 )
y - 7 = ( - 3 * 4 / - 3 * 3 ) * ( x - 4 )
y - 7 = ( 4 / 3 ) * ( x - 4 )
y - 7 = 4 * ( x - 4 ) / 3
y - 7 = ( 4 * x - 4 * 4 ) / 3
y - 7 = ( 4 x - 16 ) / 3
y - 7 = ( 4 / 3 ) x - 16 / 3 Add 7 to both sides
y - 7 + 7 = ( 4 / 3 ) x - 16 / 3 + 7
y = ( 4 / 3 ) x - 16 / 3 + 21 / 3
y = ( 4 / 3 ) x + 5 / 3
This is the slope-intercept form.
slope and = 4 / 3
y-intercept = 5 / 3
The line passes through points (4,7) and (-5,-5), where the line intersects the y axis, what is the slope?
1 answer
1 answer