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4) the equation for line a can be written as y-8=-2(x-4) line h is parallel to line o and passes through (-5,1) what is the equation of

Question

4) The equation for line a can be written as y-8=-2(x-4) Line h is parallel to line o and passes through (-5,1) What is the equation of line h?

Solution

Verificación de expertos
4.3 (209 Votos)
Elenice Mestre · Tutor por 5 anos

Resposta

To find the equation of line h, we need to use the point-slope form of a linear equation, which is given by: where is a point on the line and is the slope of the line.Since line h is parallel to line o, it will have the same slope as line o. We can find the slope of line o by rearranging the equation for line a: Simplifying this equation, we get: From this equation, we can see that the slope of line o is -2. Therefore, the slope of line h is also -2.Now, we can substitute the values of the point and the slope -2 into the point-slope form of the equation: Simplifying this equation, we get: Expanding and rearranging the equation, we get: Adding 1 to both sides of the equation, we get: Therefore, the equation of line h is .