Question

Write equations of any two lines passing through the point (7, 2).

Answer 1

Step-by-step explanation:

Since slope of line passing through two points (x1,y1) and (x2,y2) is m=x2−x1y2−y1

We now find the slope of the line passing through the points (7,5) and (−9,5) as shown below:

m=−9−75−5=−160=0

Therefore, the slope of the line is 0.

Now use the slope and either of the two points to find the y-intercept.

y=mx+b

5=(0)(7)+b

b=5

Write the equation in slope intercept form as:

y=mx+b

y=(0)x+5

y=5

Hence, the equation of the line is y=5.

Answer 2

Answer:

The equations of two lines passing through (2, 14)

are 7x − y = 0 and x − y + 12 = 0,

there are infinite lines passing

through the given point (2, 14).