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, $y=ax+b$ is 2 , which means $a=2$, so the equation of the line is $y=2x+b$ (The equation of a line having slope ' $m$ ' and $y$-intercept ' $c$ ' is $y=mx+c$ )
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 $0=2×5+b⇒b=−10=y−$ 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).