FIND SLOPE AND Y INTERCEPT
Find the slope and y intercept :
To find the slope and y-intercept of a line, We have to convert the given line is in the form of y = mx + c
Here "m" stands for slope of the line and "c" stands for y-intercept.
Find the slope and y intercept - Examples
Example 1 :
Find the slope and y-intercept of the line 2 x + 3 y = 7
Solution :
To find the slope and y-intercept of the line, we have to change the given equations in slope intercept form.
3 y = -2 x + 7
Divide the whole equation by 3
3 y = -2 x + 7
(3y/3) = (-2/3) x + (7/3)
y = (-2/3) x + (7/3)
Now we are going to compare this equation with y=mx + c
slope m = -2/3 and y-intercept = 7/3
Example 2 :
Find the slope and y-intercept of the straight line whose equation is 4 x - 2 y + 1 = 0.
Solution :
To find the slope and y-intercept of the line, we have to change the given equations in slope intercept form.
4 x + 1 = 2y
Divide the whole equation by 2
2 y = 4 x + 1
(2y/2) = (4x/2) x + (1/2)
y = 2 x + (1/2)
By comparing this equation with y = m x + c
slope m = 2 and y-intercept = 1/2
Example 3 :
Find the slope and y-intercept of the straight line whose equation is 3 x - 9 y + 3 = 0.
Solution :
To find the slope and y-intercept of the line, we have to change the given equations in slope intercept form.
3 x + 3 = 9 y
Divide the whole equation by 9
(9 y/9) = (3 x/9) + (3/9)
y = (1/3) x + (1/3)
By comparing this equation with y = m x + c
slope m = 1/3 and y-intercept = 1/3
Example 4 :
Find the slope and y-intercept of the straight line whose equation is 5 x + 7 y + 1 = 0.
Solution :
To find the slope and y-intercept of the line, we have to change the given equations in slope intercept form.
7 y = - 5 x - 1
Divide the whole equation by 7
(7 y/7) = (-5 x/7) + (-1/7)
y = (-5/7) x + (-1/7)
By comparing this equation with y = m x + c
slope m = -5/7 and y-intercept = -1/7
Related topics
- Find the slope from two points
- Find the slope of a graph
- Find the missing coordinate using slope
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