Answer:
x - 4y = 8
Step-by-step explanation:
We are given point slope form of the equation of the line that passes through the point [tex](-4, -3)[/tex] and [tex](12,1)[/tex] which is [tex]y-1=\frac{1}{4} (x-12)[/tex].
We are to write this equation in its standard form.
From the given equation, we know that the slope is [tex]\frac{1}{4}[/tex] so we will find the y intercept.
[tex]y=mx+c[/tex]
[tex]1=\frac{1}{4}\times (12) +c[/tex]
[tex]c=-2[/tex]
Substituting the given values and the y intercept in the standard form of equation.
[tex]y=mx+c[/tex]
[tex]y=\frac{1}{4} x-2[/tex]
Rearranging this to get:
x - 4y = 8
Answer:
x - 4y = 8.
Step-by-step explanation:
y - 1 = 1/4(x - 12)
y = 1/4x - 3 + 1
y = 1/4x - 2
1/4x - y - 2 = 0
1/4x - y = 2
Multiply through by 4:
x - 4y = 8 is standard form.
