The standard form:
[tex]Ax+By=C[/tex]
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
b - y-intercept (0, b).
We have the point (0, 43) → b= 43.
Next point (2, 55). Substitute to the slope formula:
[tex]m=\dfrac{55-43}{2-0}=\dfrac{12}{2}=6[/tex]
Therefore we have:
[tex]y=6x+43[/tex] subtract 6x from both sides
[tex]\boxed{-6x+y=43}[/tex]
