Question

The table shows linear relashonsips between x and y write an equation in slope intercept form for this relashonsip!!!!!!!!!!!!!!!!!!!!!!!
QUICK PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

$y=-2x+6$

Step-by-step explanation:

Slope-intercept form is given as $y=mx+b$, where $m$ is slope and $b$ is the y-intercept.

To find the slope of a line that passes through two points $(x_1, x_2)$ and $(y_1, y_2)$, use the slope formula:

$m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$

Let:

$(x_1, y_1)\implies (1, 4)\\(x_2, y_2)\implies (0, 6)$

The slope of the line that passes through these two points is:

$m=\frac{6-4}{0-1}=\frac{2}{-1}=-2$

Now substitute $m=-2$ and any point to solve for $b$:

$y=mx+b,\\6=-2(0)+b,\\6=0+b,\\b=6$

Therefore, the slope-intercept form of a line that is represented by the table is $\boxed{y=-2x+6}$