Write the equation of a line that is parallel to x = -5 and that passes through the point (1,4).

Mathematics

1 answer:

patriot [66]3 years ago

5 0

Answer:

The x-axis is a horizontal line with the equation y = 0. The line parallel to the x-axis through the given point is y = 4, which is another horizontal line which has a slope of 0, which is true of any horizontal line.

Step-by-step explanation:

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Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 3)

Lyrx [107]

Answer:

The equation of the line is,

$y = - \frac{2}{5} x - 1$

Step-by-step explanation:

First, you have to write it in a form of y = mx + b :

$2x + 5y = 15$

$5y = 15 - 2x$

$y = 3 - \frac{2}{5} x$

$y = - \frac{2}{3} x + 5$

When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :

$y = - \frac{ 2}{5}x + b$