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Question 28098: What is the slope of the line y+4=2(x+5)
Answer by sdmmadam@yahoo.com(530)   (Show Source):
You can put this solution on YOUR website! 28098 (2006-02-21 18:42:58): What is the slope of the line y+4=2(x+5)
What is the slope of the line y+4=2(x+5)
You can read the equation and give the slope as 2
How? When the coefficient of y is 1 on one side,the coefficinet of x on the other side gives the slope
Note:The standard slope and y-intercept form
y+4=2(x+5)
y+4 = 2x+10
y =2x+(10-4) (taking 4 from the left to the right, change side then change sign)
y = 2x+6
slope = 2
This is the standard slope and y-intercept form of equation :
y = (m)x +c
slope = m = 2 and y-intercept = c = 6
Note: When the coefficient of y is 1 on one side and when the x-term and the constant term are on the other side, the coefficinet of x gives the slope and the constant part gives the y-intercept.
Note: slope= 2>0 (slope is positive)implies the angle of inclination of the line with the x-axis is acute and so the course of the straight line is from the first to the third quadrant and since the y-intercept is positive the line travels via the second quadrant
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