Question

I don’t understand how to solve this graph. (Y=MX+B)

Answer 1

Answer:

The equation of line shown in the graph is $\mathbf{y=-\frac{1}{2}x -1}$

Step-by-step explanation:

We need to find equation of the line shown in graph.

The equation of line will be in slope-intercept form $y=mx+b$ where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding y-intercept

Looking at the graph, we can find y-intercept when x =0, the value of y is known as y-intercept.

So, when x =0, y=-1

So, y-intercept is -1

Finding Slope

Now, for finding slope, consider 2 points on graph

(0,-1) and (-2,0)

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=0, y_1=-1, x_2=-2, y_2=0$

Putting values and finding slope:

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

So, slope is $m=-\frac{1}{2}$

Equation of line

Now, equation of line having slope $m=-\frac{1}{2}$ and y-intercept b = -1 is

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

So, equation of line shown in the graph is $\mathbf{y=-\frac{1}{2}x -1}$