Question

Graph the line with intercept 6 and slope la1" title=" - \frac{3}{2} " alt=" - \frac{3}{2} " align="absmiddle" class="latex-formula">
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Answer 1

Given:

The y-intercept of a line = 6

The slope of the line = $-\dfrac{3}{2}$

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

$y=mx+b$

Where, m is the slope and b is the y-intercept.

Putting $m=-\dfrac{3}{2}$ and $b=6$ in the above equation, we get

$y=-\dfrac{3}{2}x+6$

At $x=0$,

$y=-\dfrac{3}{2}(0)+6$

$y=0+6$

$y=6$

At $x=2$,

$y=-\dfrac{3}{2}(2)+6$

$y=-3+6$

$y=3$

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.