Re: The slope and x-intercept of the line y = ax + b are 2 and 5 respect
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22 Dec 2024, 01:16
The slope of the line, $\(y=a x+b\)$ is 2 , which means $\(a=2\)$, so the equation of the line is $\(y=2 x+b\)$ (The equation of a line having slope ' $\(m\)$ ' and $\(y\)$-intercept ' $\(c\)$ ' is $\(y=m x+c\)$ )
To find the value of the $\(y\)$-intercept of the line is same as finding the value of $\(b\)$.
Next the x -intercept of the line is 5 means $\((5,0)\)$ satisfies the equation of line, so we get $\(0=2 \times 5+b \Rightarrow b=-10=y-\)$ intercept (Note: $\(-x-\)$ intercept of a line is the value of $\(x\)$ when $\(y\)$ is 0 ).
Hence column A quantity equals column B quantity, so the answer is (C).