Answer:
The equation of this line is y = -3x + 7
Step-by-step explanation:
Remember that when writing an equation for a graphed linear line, we must write it in slope intercept form (y=mx+b). The m represents the slope, and the b represents the y-intercept.
<em>(</em><em>The slope determines the direction in which the line </em><em>goes</em><em>,</em><em> </em><em>and</em><em> </em><em>is</em><em> </em><em>written</em><em> </em><em>as</em><em> </em><em>rise</em><em>/</em><em>run</em><em>.</em><em>)</em>
In this case the slope is going to be negative, since the line is going downwards to the right. Additionally the slope of this line is -3/1 or just -3.
<em>(</em><em>The</em><em> </em><em>y</em><em>-</em><em>intercept</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>point</em><em> </em><em>in</em><em> </em><em>which</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>crosses</em><em> </em><em>the</em><em> </em><em>y</em><em>-</em><em>axis.</em><em>)</em>
In this case, since the line crosses the y-axis at positive 7, the y-intercept will be 7.
So all together we have y = -3x + 7.
Hope this helps you :)