Question

What is the linear equation of the horizontal line that passes through the point (–3, 4)?show your work

Answer 1

if the ordered pair (x,y) is (-3, 4), then the othre ordered pair would (0,0)

Then, you find the slope(m).

So, m = y2 - y1

x2 - x1

if y2 is 4 and y1 is 0

x2 is -3 and y1 is 0

now you subtract to get -4

3

So, m= -4

3

Then, find the y-intercept

So, y=mx+b and substitute the ordered pair (0,0) into y= mx+b

y=mx+ b

0= -4(0) +b

3

0=0+b

-0 -0

b=0

So the equation is y= -4x

3