Primeira página
/
Matemática
/
1) <A Line k has an equation of y=(10)/(3)x+9 Line l includes the point (-3,-2) and is parallel tc line k. What is the equation of line l? )) Write the in form. Write the numbers in the equation as simplified proper fractions er fractions , or integers. square

Pergunta

1) <A Line k has an equation of y=(10)/(3)x+9
Line l includes the point (-3,-2) and is parallel tc
line k. What is the equation of line l?
)) Write the in form.
Write the numbers in the equation as simplified
proper fractions er fractions , or integers.
square

1) <A Line k has an equation of y=(10)/(3)x+9 Line l includes the point (-3,-2) and is parallel tc line k. What is the equation of line l? )) Write the in form. Write the numbers in the equation as simplified proper fractions er fractions , or integers. square

Solução

expert verifiedVerification of experts
4.2182 Voting
avatar
QuitériaMestre · Tutor por 5 anos

Responder

To find the equation of line l, we need to use the point-slope form of a linear equation, which is given by:<br /><br />$y - y_1 = m(x - x_1)$<br /><br />where $(x_1, y_1)$ is a point on the line and $m$ is the slope of the line.<br /><br />Since line l is parallel to line k, it will have the same slope as line k. The slope of line k is $\frac{10}{3}$, so the slope of line l is also $\frac{10}{3}$.<br /><br />Now we can substitute the values into the point-slope form:<br /><br />$y - (-2) = \frac{10}{3}(x - (-3))$<br /><br />Simplifying this equation, we get:<br /><br />$y + 2 = \frac{10}{3}(x + 3)$<br /><br />Therefore, the equation of line l in the form $y = mx + b$ is:<br /><br />$y = \frac{10}{3}x + 7$
Clique para avaliar: