Question

Write the equation of a line that is perpendicular to the equation y=-x+4 and passes through the point (2,5)

Answer 1

y=x+3

Explanation:

perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.

here is the equation: y=-x+4

the slope is -1

here is the equation to find the slope of the perpendicular line:

-1m=-1

multiply by -1

m=1

here is the new line so far: y=1x+b

now, we can substitute the point (2,5) into the equation, since the equation will pass through that point to find b (the y intercept)

5=1(2)+b

5=2+b

3=b

the equation of the line is y=1x+3, or y=x+3

Hope this helps!