Answered

Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.y = -2x + 1y = 2 + 1y = -x + 1y=x+1

Answer :

We have the equation

2x+y = 4

We need to find the slope so we rewrite the equation in slope intercept form y = mx+b where m is the slope and b is the y intercept

2x+y-2x = -2x+4

y = -2x +4

The slope is -2

Perpendicular lines have slopes that multiply to -1

-2 * m = -1

m = 1/2

The slope of a line that is perpendicular is 1/2

Using slope intercept form

y = mx+b and a slope of 1/2 and the y intercept of 1

y = 1/2x + 1

Other Questions