Answer:
Equation of the line is y = -x + 4
Step-by-step explanation:
When the two lines having their slopes and are perpendicular to each other then
If is the slope of the line passing through two points (0, 3) and (4, 7) then
=
= 1
Now slope of the second line perpendicular to first line will be
=
= -1
Slope intercept form of the equation of a line is represented by
y = mx + c
where m = slope
c = y intercept
Since the line is passing through (-1, 3) and slope = -1, therefore,
3 = -1 + c
c = 4
Now we plug in these values in the equation.
y = -x + 4
Equation of the line is y = -x + 4