Answer:
Standard Form : 3x+1y=35
Step-by-step explanation:
The equation of the line will be 3x+y-35=0
The equation of the line in standard form will be expressed by using the coefficient of x and coeficient of y which is given
ax+by+c=0
The equation of line which passes through two points will be
(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)
So according to asked question,
x₁=10,y₁=5
x₂=13,y₂=-4
the equation of line will be
(y-5)/(x-10)=(-4-5)/(13-10)
⇒(y-5)/(x-10)=-9/3
⇒(y-5)/(x-10)=-3
⇒y-5=-3(x-10)
⇒y-5=-3x+30
⇒y+3x-5-30=0
⇒3x+y-35=0
Therefore the equation of the line will be 3x+y-35=0
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