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Step-by-step explanation:
Question 8
Let the equation of a line passing through two points and
is given by,
y = mx + b
Here, m = slope and y-intercept = b
Since, m =
For two points (1, 4) and (5, 8),
m =
m = 1
Equation will be,
y = (1)x + b
y = x + b
Since, this line passes through (1, 4),
4 = 1 + b
b = 3
Therefore, equation of the line will be,
y = x + 3
Question 9
Let the equation is y = mx + b
m =
For two points (2, 10) and (6, 4)
m =
m =
By substituting the value of 'm' in the equation,
y =
Since, this line passes through (2, 10)
10 =
b = 10 + 2
b = 12
Therefore, equation of the line will be,