To find slope from the equation of the line, first we have to check whether the equation is in standard form or slope intercept form.
Standard form :
ax + by + c = 0 or ax + by = c
Slope intercept form :
y = mx + b
Write down the gradient of each of these lines.
Problem 1 :
y = 3x + 1
Solution :
Given, y = 3x + 1
The above line is in slope intercept form.
Comparing y = mx + b and y = 3x + 1
Slope (m) = 3.
Problem 2 :
y = 2x - 5
Solution :
Given, y = 2x - 5
The above line is in slope intercept form.
Comparing y = mx + b and y = 2x - 5
Slope (m) = 2.
Problem 3 :
y = 7x + 4
Solution :
Given, y = 7x + 4
The above line is in slope intercept form.
Comparing y = mx + b and y = 7x + 4
Slope (m) = 7.
Problem 4 :
y = 10x + 5
Solution :
Given, y = 10x + 5
The above line is in slope intercept form.
Comparing y = mx + b and y = 10x + 5
Slope (m) = 10.
Problem 5 :
y = x - 2
Solution :
Given, y = x - 2
The above line is in slope intercept form.
Comparing y = mx + b and y = x - 2
Slope (m) = 1.
Problem 6 :
y = 6x
Solution :
Given, y = 6x
The above line is in slope intercept form.
Comparing y = mx + b and y = 6x
Slope (m) = 6.
Problem 7 :
y = -4x + 3
Solution :
Given, y = -4x + 3
The above line is in slope intercept form.
Comparing y = mx + b and y = -4x + 3
Slope (m) = -4.
Problem 8 :
y = -3x - 7
Solution :
Given, y = -3x - 7
The above line is in slope intercept form.
Comparing y = mx + b and y = -3x - 7
Slope (m) = -3.
Problem 9 :
y = (1/2)x + 3
Solution :
Given, y = (1/2)x + 3
The above line is in slope intercept form.
Comparing y = mx + b and y = (1/2)x + 3
Slope (m) = 1/2.
Problem 10 :
y = (-4/5)x - 9
Solution :
Given, y = (-4/5)x - 9
The above line is in slope intercept form.
Comparing y = mx + b and y = (-4/5)x - 9
Slope (m) = -4/5.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM