A dog sled race is 25 miles long.The equation 5/8 k=25 can be used to estimate the race’s length k in kilometers. Approximately
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The equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form is x - 2y = - 3
<u>Solution:</u>
Given, line equation is 2x + y = 3
2x + y – 3 = 0 ----- eqn (1)
We have to find a line that is perpendicular to 2x + y – 3 = 0 and passing through (5, 4).
Now, let us find the slope of the given line,
Now, slope of our required line = 1/2 and it passes through (5, 4)
<em><u>The point slope form is given as:</u></em>
<em><u>Now let us convert to standard form:</u></em>
The standard form of a line is just another way of writing the equation of a line.
The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.
2(y – 4) = 1(x - 5)
2y – 8 = x – 5
x – 2y - 5 + 8 = 0
x - 2y + 3 = 0
x - 2y = - 3
Hence, the line equation in standard form is x - 2y = - 3