QuestionAugust 25, 2025

Write an equation in standard form for the line that passes through the given points. (7,0) and (0,-4) The equation of the line in standard form is square (Type your answer in standard form.)

Write an equation in standard form for the line that passes through the given points. (7,0) and (0,-4) The equation of the line in standard form is square (Type your answer in standard form.)
Write an equation in standard form for the line that passes through
the given points.
(7,0) and (0,-4)
The equation of the line in standard form is square 
(Type your answer in standard form.)

Solution
4.5(285 votes)

Answer

4x - 7y = 28 Explanation 1. Calculate the slope Use the formula for slope: **m = \frac{y_2 - y_1}{x_2 - x_1}**. Here, m = \frac{-4 - 0}{0 - 7} = \frac{-4}{-7} = \frac{4}{7}. 2. Use point-slope form Use the point-slope form of a line: **y - y_1 = m(x - x_1)**. Choose point (7,0): y - 0 = \frac{4}{7}(x - 7). 3. Convert to standard form Distribute and rearrange: y = \frac{4}{7}x - 4. Multiply through by 7 to eliminate fractions: 7y = 4x - 28. Rearrange to standard form: 4x - 7y = 28.

Explanation

1. Calculate the slope<br /> Use the formula for slope: **$m = \frac{y_2 - y_1}{x_2 - x_1}$**. Here, $m = \frac{-4 - 0}{0 - 7} = \frac{-4}{-7} = \frac{4}{7}$.<br /><br />2. Use point-slope form<br /> Use the point-slope form of a line: **$y - y_1 = m(x - x_1)$**. Choose point $(7,0)$: $y - 0 = \frac{4}{7}(x - 7)$.<br /><br />3. Convert to standard form<br /> Distribute and rearrange: $y = \frac{4}{7}x - 4$. Multiply through by 7 to eliminate fractions: $7y = 4x - 28$. Rearrange to standard form: $4x - 7y = 28$.
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