Respuesta :

szetosarahg

Answer:

16x + 4y = 16

Explanation:

Basically, you want in equation that will equal "x=1" and "y=4". One equation you could do is 16x + 4y = 16. When you find one intercept, you make the other one 0. For example, if you're trying to find the x intercept, you make y 0. 16x = 16, x = 1. Or, when finding the y intercept, x = 0. 4y = 16, y = 4. Hope this helped!

Lanuel

The standard form of this equation of line is: y = -4x + 4

Given the following data:

  • Points on the x-axis = (1, 0)
  • Points on the y-axis = (0, 4)

To find the equation in standard form the line:

First of all, we would determine the slope of this line by using the following formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the points into the formula, we have;

[tex]Slope. \;m = \frac{4 - 0}{0 - 1}\\\\Slope. \;m = \frac{4}{-1}[/tex]

Slope, m = -4

The standard form of an equation of line is given by the formula;

[tex]y = mx + b[/tex] or [tex]y - y_1 = m(x - x_1)[/tex]

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

[tex]y - 0 = -4(x - 1)\\\\y - 0 = -4x + 4\\\\y = -4x + 4[/tex]

Read more: https://brainly.com/question/18123312

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