1 Answer

Octane · Answer 1 · 2023-02-22T19:38:45+0000

Given:

The equation is given as,

$\begin{gathered} x\text{ - 5y = 10} \\ 6x\text{ - 3y + 9 = 0} \end{gathered}$

Required:

The equation of the in slope intercept form.

Step-by-step explanation:

The slope-intercept form is given as,

$y\text{ = mx + c}$

Where m is the slope and c is the intercept.

The slope-intercept form for the first equation is calculated as,

$\begin{gathered} x\text{ - 5y = 10} \\ 5y\text{ = x - 10} \\ y\text{ = }(x)/(5)\text{ - }(10)/(5) \\ y\text{ = }(x)/(5)\text{ - 2} \end{gathered}$

The slope-intercept form for the second equation is calculated as,

$\begin{gathered} 6x\text{ - 3y + 9 = 0} \\ 3y\text{ = 6x + 9} \\ y\text{ = }(6x)/(3)\text{ + }(9)/(3) \\ y\text{ = 2x + 3} \end{gathered}$

Answer:

Thus the required equation in slope intercept form is,

$\begin{gathered} y\text{ = }(x)/(5)\text{ - 2} \\ y\text{ = 2x + 3} \end{gathered}$

The graph of the equation y = x/5 - 2 is given as,

The graph of the equation y = 2x + 3 is given as,

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