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The equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation is:
Given that line that passes through the point (1, -3) and that is parallel to the line with the equation
We have to find equation of line
<em><u>The slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line and "c" is the y-intercept
Let us first find slope of line containing equation
Rearrange the above equation into slope intercept form
On comparing the above equation with slope intercept form y = mx + c,
So the slope of line containing equation is
We know that slopes of parallel lines are equal
So the slope of line parallel to line having above equation is also
<em><u>Now let us find the equation of line having slope m = 3/4 and passes through point (1 , -3)</u></em>
Substitute and (x, y) = (1 , -3) in slope intercept form
y = mx + c
<em><u>Thus the required equation of line is:</u></em>
substitute and
in slope intercept form
Thus the equation of line is found out