Question

Solve for 45 points and explain well

Answer 1

y = -x + 6

Explanation:

`\text{The intercept form of an equation of a line:}\\\\(x)/(a)+(y)/(b)=1\\\\a-x\ intercept\\b-y\ intercept\\\\\text{We have:}\\\\point\ (2,\ 4)\to x=2,\ y=4\\a=c\\b=c\\\\\text{Substitute:}\\\\(2)/(c)+(4)/(c)=1\\\\(2+4)/(c)=1\\\\(6)/(c)=1\qquad\text{multiply both sides by}\ c\\eq0\\\\6=c\to c=6`

`\text{Put it to the equation in the intercept form:}\\\\(x)/(6)+(y)/(6)=1\\\\(x+y)/(6)=1\qquad\text{multiply both sides by 6}\\\\x+y=6\qquad\text{subtract}\ x\ \text{from both sides}\\\\y=-x+6`