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<em><u>The equation of the line passing through the point (-4,-6) in slope intercept form is:</u></em>
<em><u>Solution:</u></em>
Given that we have to write the equation of the line passing through the point (-4,-6) that is parallel to the line y=-2/9x-1
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ---------- eqn 1
Where, "m" is the slope of line and "c" is the y intercept
<em><u>Given equation of line is:</u></em>
<em><u>On comparing the above equation with eqn 1,</u></em>
We know that slopes of parallel lines are equal
Thus slope of line parallel to given line is also
Now find the equation of line with slope and passing through (-4, -6)
Thus the equation of line is found