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# I just don't get it.

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I just don't get it. Lines t and w are parallele in the xy-plane. The equation of line is 4x + 7y = 14, and line w passes through (-3,8). What is the vaule of the y- intercept of line w?NVM......

Guest Aug 10, 2018
edited by Guest  Aug 11, 2018
edited by asinus  Aug 14, 2018
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I just don't get it. Lines t and w are parallele in the xy-plane. The equation of line is 4x + 7y = 14, and line w passes through (-3,8). What is the vaule of the y- intercept of line w?

The equation of line is

$$4x + 7y = 14\\ t(x)=y_t=-\frac{4}{7}x+2$$

m          n

$$m_t=m_w=-\frac{4}{7}$$   parallels

$$P_w(-3;8)$$

$$m_w=\frac{y-y_1}{x-x_1}\\ -\frac{4}{7}=\frac{y-8}{x+3)}$$

$$f(w)=y_w=-\frac{4}{7}x-\frac{12}{7}+8\\ {\color{blue}y_w=-\frac{4}{7}x+6.\overline{285714}..}(+\frac{44}{7})$$

The vaule of the y- intercept of line w is $$6\frac{2}{7}=6.\overline{285714}..$$

!

asinus  Aug 14, 2018