Question

Match the following lines with their slopes and $y-$intercepts respectively.

• A. Slope = $2$
• B. Slope = $-2$
• C. Intercept = $4$
• D. Intercept = $-1$

Answer 1

$\underset{–}{ConceptInvolved:}$

$y=mx+b$
This line has slope $m$ and $y-$intercept as $b$.

$\underset{–}{Method:}$

$y=2x+5$
This line has slope '2' and $y-$intercept as '5'.

$y=3x+4$
This line has slope '3' and $y-$intercept as '4'.

$-5y=10x+1$
Dividing both sides of the equation by '-5'.

$\frac{-5y}{-5}=\frac{10x}{-5}+\frac{1}{-5}$
$y=-2x+\frac{-1}{5}$

This line has slope '-2' and $y-$intercept as '$\frac{-1}{5}$'.

$-5y=15x+5$
Dividing both sides of the equation by '-5'.

$\frac{-5y}{-5}=\frac{15x}{-5}+\frac{5}{-5}$
$y=-3x+(-1)$

This line has slope '$-3$' and $y-$intercept as '$-1$'