Question

how can i found the x & y-intercept in this equation y - 6 = - 1/2 (x + 1). i need help pls

Answer 1

Given eq is y - 6 = - 1/2 (x + 1)
it can be written as
2 y - 12 = -x - 1
i.e. 2 y +x = 12 - 1
i.e. 2 y +x = 11
i.e \[\frac{2y}{11}+\frac{x}{11} =1 \rightarrow \frac{x}{11}+ \frac{2y}{11}=1 \]
\[\frac{x}{11}+ \frac{y}{\frac{11}{2}}=1 \]
comparing it with \[\frac{x}{a}+ \frac{y}{b}=1 \]
we find x- intercept =a= 11 and y- intercept =b= 11/2