Question

Will Mark The Brainliest. Write an equation of the line graphed in slope-intercept form using the variables x and y.

Answer 1

Answer:

$\boxed{y=-2x+5}$

Step-by-step explanation:

The equation in slope-intercept form is given by:

$y=mx+c$

where $m$ is the slope and $c$ is the y-intercept.

The given line passes through so many points. We can use any two these points to find the slope of the line.

The line passes through $(x_1,y_1)= (1,3)$ and $(x_2,y_2)=(2,1)$.

The slope is given by;

$m=\frac{y_2-y_1}{x_2-x_1}$.

$\Rightarrow m=\frac{1-3}{2-1}$.

$\Rightarrow m=\frac{-2}{1}=-2$.

The y-intercept from the graph is $c=5$

Our equation finally becomes;

$y=-2x+5$

Answer 2

Answer:

y = -2x+5

Step-by-step explanation:

We have two points so we can find slope

(0,5)  and (1,3)

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

   =  (3-5)/(1-0)

   =-2/1

  The slope = -2

We know the y intercept is 5  (This is the point where it crosses the y axis)

The slope intercept from is

y= mx+b  where m is the slope and b is the y intercept

y = -2x+5