The equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (-5, 1) is
Step-by-step explanation:
We need to find the equation of a line that is parallel to the line and passes through the point (-5, 1)
We need to find the slope of the line.
Using slope-intercept form:
The standard equation of slope-intercept form is:
where m is the slope and b is the y-intercept
Rearranging the given equation in slope-intercept form:
So, Slope m = -2/5
Since the new line is parallel to the given line so slope is m = -2/5 because when lines are parallel they have same slope.
Now finding the y-intercept of the new line using slope m=-2/5 and poin (-5,1)
So, value of y-intercept is b = -1
Now, The equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (-5, 1) is:
Having slope m = -2/5 and y-intercept b = -1
Since Options are not given in the question so, the equation is:
Keywords: Equation of parallel lines, Slope
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