Question

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in slope-intercept form.

−three fourthsx + y = 10

3x − 4y = −40

y = three fourthsx + 12

y = three fourthsx + 10

Answer 1

\[y − 4 = \frac{3}{4}(x + 8) \rightarrow 4(y − 4) = 3(x + 8)\]
\[ \rightarrow 4y − 16 = 3x + 24 \rightarrow 4y = 3x + 24+16\]
\[ \rightarrow 4y = 3x + 40 \rightarrow y = \frac{3}{4}x + \frac{40}{4}\]
\[\rightarrow y = \frac{3}{4}x + 10\]

Hence option " y = three fourthsx + 10 " is the correct answer.
@Tayloresc

Answer 2

do you understand everything dpasangh did ?

Answer 3

yes