Question

Find the slope given the points (-5,-3) and (2,4)

Answer 1

Answer:

The slope of the line is 1.

Step-by-step explanation:

We are given two coordinate points:

• (-5, -3)
• (2, 4)

We can use the rate of change formula to find the slope of the points.

• $\displaystyle \frac{\triangle y}{\triangle x}$

In mathematics, coordinate pairs are labeled as:

$(x_1, y_1) \ \text{and} \ (x_2, y_2)$

Therefore, we can relabel our points:

• $x_1 = -5$
• $y_1 = -3$
• $x_2 = 2$
• $y_2 = 4$

After we do this, we can expand the rate of change formula:

$\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Now, we can use simple substitution to solve for m, or the slope.

$\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{2-(-5)}\\\\m = \frac{7}{7}\\\\m = 1$

Therefore, the slope of the line is 1.

Answer 2

Answer:

1

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (4 - -3)/(2 - -5)

   = ( 4+3)/( 2+5)

   = 7/7

  = 1