izukumidoriya9090909
izukumidoriya9090909 izukumidoriya9090909
  • 02-03-2020
  • Mathematics
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What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

What is the equation of the line in slopeintercept form Write your answer using integers proper fractions and improper fractions in simplest form class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 10-03-2020

Answer:

[tex]y = \frac{1}{5}x - 4[/tex]

Step-by-step explanation:

The slope-intercept form of a line is given as:

[tex]y = mx + c[/tex]

where m is the slope and c is the y-intercept.

The curve passes through (0,-4) and (5,-3).

The slope is obtained using:

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

Substitute the points to get;

[tex]m = \frac{ - 3 - - 4}{5 - 0} [/tex]

[tex]m = \frac{ - 3 + 4}{5 - 0}[/tex]

[tex]m = \frac{ 1}{5 }[/tex]

The y-intercept is c=-4

Let us put the values into the formula to get:

[tex]y = \frac{1}{5}x - 4[/tex]

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