Question

The equation of the line in the graph is y = (BLANK)
x +(BLANK)
.

Answer 1

Answer:

it is clear from the graph that it passes through (-1,0)and(0,-1)

slope = -1

use all these conditions

Answer 2

Answer:      

The equation of the line is

Y=mx +b      

Here intercept on y axis is (-1)

And two points on the line are (-1 ,0) and (0,-1)     m= { (-1)- 0/0- (-1)} = -1/-1=1

Putting these in m= {0- (-1)/ (-1)- 0}      

                              = +1/-1 = -1              

                           So y= mx+ b

                               y =(-1)x + (-1)    

                       => y = -x-1

Checking the equation:  

Equation y= -x -1   when y=0 , x= -1 when  x=0, y= (-1)

Step-by-step explanation:      

A  linear equation is a slope-intercept form that is written as  

y  = mx + b

, where  m = slope   and b =  intercept  on y axis

The slope of a line refers to the ratio of the vertical change in y over the horizontal change in x between any two points on a line. It indicates the direction in which a line slants as well as its steepness.  

m = y 2 − y 1 /x 2 − x 1

If the slope is positive, the line slants upward to the right. If the slope is negative, the line slants downward to the right. As the slope increases, the line becomes steeper.  

Hope it helps