Question

A line with a slope of 10 passes through the points (z,0) and (3,10). What is the value of z?

A) z = -1
B) z = 0
C) z = 1
D) z = 2

Answer 1

Using the slope formula and the given points, we can solve for z. The calculation shows that z equals 2, which is answer D.

Step-by-step explanation:

To find the value of z for a line with a slope of 10 passing through the points (z,0) and (3,10), we can use the slope formula which is (y2 - y1) / (x2 - x1). The slope is given as 10, and using the coordinates (3,10) and (z,0), we get:

10 = (10 - 0) / (3 - z)

This simplifies to:

10 = 10 / (3 - z)

Multiplying both sides by (3 - z) gives us:

30 - 10z = 10.

Solving for z:

30 - 10 = 10z

20 = 10z

z = 20 / 10

z = 2

Therefore, the value of z is 2, which corresponds to answer D.