Solve the following equation. Justify each step. 0.2x + 3.1 - 2.1x = 0.3 (x-5) + 0.2
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The equation of the line is y = x +
Step-by-step explanation:
The form of the linear equation is y = mx + b, where
- m is the slope of the line,
- b is the y-intercept, to find b substitute x and y in the equation by the coordinates of any point on the line
∵ A line passes through points ( , 5) and (
, 4)
∴ =
and
=
∴ = 5 and
= 4
- Substitute them in the rule of the slope to find m
∵
∴
- Substitute it in the form of the equation
∴ y = x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ Point ( , 5) lies on the line
∴ x = and y = 5
∴ 5 = (
) + b
∴ 5 = + b
- Subtract from both sides
∴ = b
∴ y = x +
The equation of the line is y = x +
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