Question

Write an equation in

Answer 1

Answer:

The equation in slope-intercept form of required line is: $\mathbf{y=-x+2}$

Step-by-step explanation:

We need to write equation in slope-intercept form to represent the  relationship on the  graph.

The general equation in slope-intercept form is: $y=mx+b$

Where m is slope and b is y-intercept

Finding slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Looking at he graph we have

x_1=0, y_1=2, x_2=1, y_2=1

Putting values in formula and finding slope:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{1-2}{1-0}\\Slope=\frac{-1}{1}\\Slope=-1$

So, we get slope m = -1

Using slope m=-1 and point (0,2) we can find y-intercept

$y=mx+b\\2=-1(0)+b\\b=2$

So, y-intercept b = 2

The equation of line having m=-1 and b=2 will be:

$y=mx+b\\y=-1(x)+2\\y=-x+2$

The equation in slope-intercept form of required line is: $\mathbf{y=-x+2}$