Respuesta :

Supernova

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

  • y = mx + b
  • where m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.  

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

  • Slope formula: [tex]\displaystyle \bf \frac{y_2-y_1}{x_2-x_1}[/tex]

Plug the two points into the formula.

  • [tex]\displaystyle \frac{4-0}{0-(-6)}[/tex]

Subtract and simplify this fraction.

  • [tex]\displaystyle \frac{4}{6} =\frac{2}{3}[/tex]

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

  • y = 2/3x + 4

The equation of the line is y = 2/3x + 4.

luvadri

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

y = mx + b

where m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.  

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

Slope formula:  

Plug the two points into the formula.

Subtract and simplify this fraction.

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

y = 2/3x + 4

The equation of the line is y = 2/3x + 4.

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