GIVING BRAINLIEST!!!!!
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Answer:
<em>k=-3</em>
Step-by-step explanation:
<u>Equation of a line</u>
The general equation of a line can be written as:
Ax+By=C
The x-intercept is the point where the line crosses the x-axis, i.e. y=0, thus replacing x=3 and y=0:
A(3)+B(0)=C
3A=C
Solving for A:
A=C/3
The y-intercept is the point where the line crosses the y-axis, i.e. x=0, thus replacing x=0 and y=5:
A(0)+B(5)=C
5B=C
Solving for B:
B=C/5
Replacing into the general equation:
Simplifying by C:
The point P(k,10) belongs to the line, thus:
Operating:
Multiplying by 3: