Question

The slope intercept form of equation of a line with slope as $m$ and $y$-intercept as $b$ is:

• A. $x=my+b$
• B. $y=mx+b$
• C. $y=mx+b$
• D. $y-y_1=m(x-x_1)$

Answer 1

The correct option is B $y=mx+b$

$\to$If a line has slope 'm' and its y-intercept is 'b', then the equation of the line can be written as:
$y=mx+b$
This form of equation is called the $\underset{–}{\text{slope intercept}}$ form of a line.
Hence option (b) is correct.

$\to$The $\underset{–}{\text{point slope}}$ form of a line is given as:
$y-y_1=m(x-x_1)$
where 'm' is the slope and $(x_1,y_1)$ is the point from which the line is passing.
Hence option (d) is incorrect