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harina [27]
2 years ago
10

Complete the equation for the standard form of the line that has an x-intercept of -5 and a y-intercept of -4.

Mathematics
1 answer:
Verdich [7]2 years ago
7 0

Answer:

Intercept form     \frac{x}{-5} + \frac{y}{-4} = 1

The standard form of the equation of the line

   4 x + 5 y +20 =0

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that x-intercept (a) = -5

and y-intercept (b) = -4

Intercept form

                 \frac{x}{a} + \frac{y}{b} = 1

                \frac{x}{-5} + \frac{y}{-4} = 1

          ⇒   \frac{4x+5y}{-20}  = 1

                4 x + 5 y = -20

<u><em>Final answer:-</em></u>

The standard form of the equation of the line

               4 x + 5 y +20 =0

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Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

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Equation of line passing through (x', y') and slope 'm' is,

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Since, all the points which lie on this line will satisfy this equation.

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Therefore, (5, 10) doesn't line on the line.

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14 = 1.5(6) + 5

14 = 14

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Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

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