Question

Create an equation from these two points, (-5,9)(3,17).

a) y = 2x + 19
b) y = 2x - 19
c) y = x + 19
d) y = x - 19

Answer 1

The equation of the line passing through the points (-5,9) and (3,17) is y = x + 14.

Step-by-step explanation:

The equation of the line passing through the points (-5,9) and (3,17) can be found by using the slope formula.

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

= (17 - 9)/(3 - (-5))

= 8/8

= 1

Let's use the point-slope form of an equation to find the equation of the line:

y - y1 = m(x - x1)

We can choose either point (-5,9) or (3,17) to substitute for x1 and y1. Let's use (-5,9) in this case:

y - 9 = 1(x - (-5))

y - 9 = x + 5

y = x + 14

Therefore, the equation of the line passing through the points (-5,9) and (3,17) is y = x + 14.