The equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3) in slope intercept form is
Given that a line is parallel to line x + 5y = 10 and passes through the point (1, 3)
We have to find the equation of line
<em><u>The 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>Let us first find the slope of line</u></em>
Given equation of line is x + 5y = 10
On comparing the above equation of line with slope intercept form,
We know that slopes of parallel lines are equal
So the slope of line parallel to given line is also
<em><u>Let us find the equation of line with slope m = -1/5 and passes through the point (1, 3)</u></em>
<em><u>Thus the required equation is:</u></em>
Thus the required equation of line is found