1 Answer

Anderso · Answer 1 · 2024-04-09T22:45:11+0000

Hello !

Answer:

$\Large \boxed{\sf y=1}$

Explanation:

The slope-intercept form of a line is of the form
$\sf y=mx+b$ where m is the slope and b is the y-intercept.

We're looking for the two coefficients m and b.

The lines passes through two points :

Let's replace x and y with their values in the equation :

$\begin{cases}\sf 1=-5m+b \\\sf 1=2m+b\end{cases}$

We get a system of two linear equations to solve.

Let's subtract the second line from the first one and solve for m :

$\sf 1-1=-5m+b-(2m+b)\\\iff 0=-5m+b-2m-b\\\iff 0=-7m\\\iff \boxed{\sf m=0}$

Let's substitute 0 for m in the second equation :

$\sf 1=2* 0+b\\\iff \boxed{\sf b=1}$

The slope-intercept form of the line is :

$\sf y=0x+1$

$\boxed{\sf y=1}$

Have a nice day ;)

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