The solutions are:
(-15 , -4) β 1st
(3 , 2) β 3rd
(21 , 8) β 5th
Step-by-step explanation:
To find the solution of the graph let us make the equation of the line by using any two points on the line
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)
The formula of the slope is
From the figure
β΅ The line passes through points (-3 , 0) and (0 , 1)
- Find the slope of the line
β΄
- Substitute the value of m in the form of the equation
β΄ y = x + b
β΅ b is the value of y at x = 0
β΅ y = 1 at x = 0 β y-intercept
β΄ b = 1
β΄ y = x + 1
Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution
Point (-15 , -4)
β΅ x = -15
β΄ y = (-15) + 1
β΄ y = -5 + 1 = -4 β same value of the point
β΄ (-15 , -4) is a solution
Point (-6 , 1)
β΅ x = -6
β΄ y = (-6) + 1
β΄ y = -2 + 1 = -1 β not the same value of the point
β΄ (-6 , 1) is not a solution
Point (3 , 2)
β΅ x = 3
β΄ y = (3) + 1
β΄ y = 1 + 1 = 2 β same value of the point
β΄ (3 , 2) is a solution
Point (12 , 9)
β΅ x = 12
β΄ y = (12) + 1
β΄ y = 4 + 1 = 5 β not the same value of the point
β΄ (12 , 9) is not a solution
Point (21 , 8)
β΅ x = 21
β΄ y = (21) + 1
β΄ y = 7 + 1 = 8 β same value of the point
β΄ (21 , 8) is a solution