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the equation for line k can be written as y+5= (7)/(5)(x-10) . line l is parallel to line k and passes through (-3,-6) . what is the

Question

The equation for line k can be written as y+5= (7)/(5)(x-10) . Line l is parallel to line k and passes through (-3,-6) . What is the equation of line l? Write the equation in tercept form . Write the numbers in the equatior as simplified proper fractions , improper fractions, or integers. square

Solution

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4.4 (219 Votos)
Ricardo Mestre · Tutor por 5 anos

Resposta

To find the equation of line l, we need to use the fact that parallel lines have the same slope. The slope of line k can be found by looking at the coefficient of (x-10) in the equation for line k.The equation for line k is given as: Comparing this with the point-slope form of a linear equation, which is , we can see that the slope of line k is .Since line l is parallel to line k, it will have the same slope. Therefore, the slope of line l is also .Now, we can use the point-slope form of a linear equation to find the equation of line l. We know that line l passes through the point (-3, -6), so we can substitute these values into the point-slope form: Simplifying this equation gives us: Therefore, the equation of line l in intercept form is: