y = 5x - 5 is the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10) in slope intercept form
Solution:
Given that line parallel to y - 5x = 10 that passes through the point (3, 10)
To find: equation of line in slope intercept form
The slope intercept form is given as:
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
Let us first find slope of line
y - 5x = 10
y = 5x + 10
On comparing y = 5x + 10 with slope intercept form, we get m = 5
Thus slope of given line is 5
We know that slopes of parallel lines are equal
So the slope of line parallel to given line is also 5
Now we have to find the equation of line with slope m = 5 and passes through point (3, 10)
Substitute m = 5 and (x, y) = (3, 10) in slope intercept form,
10 = 5(3) + c
10 = 15 + c
c = - 5
Thus the required equation is:
Substitute c = -5 and m = 5 in eqn 1
y = 5x - 5
Thus the required equation of line is found
