Question

Graph the line that represents the equation--
y= -2/3x+1

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

step 1

Find the intercepts

we have

$y=-\frac{2}{3}x+1$

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=-\frac{2}{3}(0)+1$

$y=1$

The y-intercept is the point (0,1)

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0=-\frac{2}{3}x+1$

$x=1.5$

The y-intercept is the point (1.5,0)

step 2

Graph the line

To graph the line plot the intercepts and join the points

see the attached figure