Question

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Answer 1

The standard form:

$Ax+By=C$

The slope-intercept form:

$y=mx+b$

m - slope

$m=\dfrac{y_2-y_1}{x_2-x_1}$

b - y-intercept (0, b).

We have the point (0, 43) → b= 43.

Next point (2, 55). Substitute to the slope formula:

$m=\dfrac{55-43}{2-0}=\dfrac{12}{2}=6$

Therefore we have:

$y=6x+43$      subtract 6x from both sides

$\boxed{-6x+y=43}$