Question

To write the equation of a line that passes through points (1,1) and (3,5), answer the following questions to guide your thought process:

A) Given points (x1,y1) and (x2, y2). what is the equation for slope?

m= *blank* - *blank*
*blank* - *blank*


Options for all 4 blanks

A X2
B Y1
C X1
D Y2

Answer 1

To find the slope (m) of a line that passes through two points (x₁, y₁) and (x₂, y₂), the formula for the slope is:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Now, let's identify the correct options for the blanks:

- The first blank is \( y_2 \), which corresponds to D.
- The second blank is \( y_1 \), which corresponds to B.
- The third blank is \( x_2 \), which corresponds to A.
- The fourth blank is \( x_1 \), which corresponds to C.

So, filling in the blanks, we have:

\[ m = \frac{D - B}{A - C} \]

Thus, the complete statement is:

m = \( y_2 - y_1 \) / \( x_2 - x_1 \).