Thank you so much for the help!

Question

asked Feb 12, 2024 149k views

1 Answer

Petermolnar · Answer 1 · 2024-02-17T22:33:35+0000

The equations of the line are
$y = - (2)/(3)\cdot x + 1$ and
$y = - 7 \cdot x + 2$ .

How to determine the equation of a line

In this problem we must determine two line equations based on information available on graph. Lines are modelled after the following expression:

y = m · x + b

Where:

Slope can be found by means of secant line formula:

$m = (\Delta y)/(\Delta x)$

Where:

And intercept of the line is the point that is on y-axis.

Now we proceed to determine the equation of the line:

Case 1:

Slope:

m = (- 1 - 3)/(3 - (- 3))

m = - (2)/(3)

Intercept:

b = y - m · x

b = 1 - m · 0

b = 1

The equation of the line is
$y = - (2)/(3)\cdot x + 1$ .

Case 2:

Slope:

m = (- 5 - 2)/(1 - 0)

m = - 7

Intercept:

b = y - m · x

b = 2 - m · 0

b = 2

The equation of the line is
$y = - 7 \cdot x + 2$ .