To find the equation of a line passing through a given point (4,3) with a given slope of 2, we can use the point-slope form of a line:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point and m is the given slope.
Substituting the values, we have:
y - 3 = 2(x - 4)
Expanding the equation, we get:
y - 3 = 2x - 8
To isolate y, we can add 3 to both sides:
y = 2x - 8 + 3
Simplifying further:
y = 2x - 5
Therefore, the equation of the line passing through the point (4,3) with a slope of 2 is y = 2x - 5.
the line passing thorugh point (4,3) with slope 2
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