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
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: