Respuesta :

Given the graph of a line

We will write the slope-intercept form of the equation of the line

AS shown, the line passes through the points (0, 3) and (-1, 0)

The equation of the line is: y = m * x + b

Where (m) is the slope of the line

(b) is the y-intercept

The slope of the line =

[tex]slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-3}{-1-0}=\frac{-3}{-1}=3[/tex]

the value of (b) = y-interept = the value of (y) when (x=0)

So, b = 3

So, the equation of the line will be:

[tex]y=3x+3[/tex]

Ver imagen InsiyahM237633
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