Question

I’m slow please help. GIVING OUT A LOT OF POINTS FOR THIS❗️❗️❗️

Answer 1

x + 3y = 8

Explanation:

Answer 2

`x+3y=8`

Explanation:

From inspection of the given graph, two points on the line are:

• (-4, 4)
• (-1, 3)

Substitute these points into the slope formula to calculate the slope of the line:

`\implies \textsf{slope}\:(m)=(y_2-y_1)/(x_2-x_1)=(3-4)/(-1-(-4))=-(1)/(3)`

Substitute the found slope and one of the points into the point-slope formula:

`\implies y-y_1=m(x-x_1)`

`\implies y-4=-(1)/(3)(x-(-4))`

`\implies y-4=-(1)/(3)(x+4)`

`\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a linear equation}\\\\$Ax+By=C$\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are constants. \\ \phantom{ww}$\bullet$ $A$ must be positive.\\\end{minipage}}`

Multiply both sides by 3:

`\implies 3(y-4)=3 \cdot -(1)/(3)(x+4)`

`\implies 3y-12=-(x+4)`

`\implies 3y-12=-x-4`

Add x to both sides:

`\implies 3y-12+x=-x-4+x`

`\implies 3y-12+x=-4`

Add 12 to both sides:

`\implies 3y-12+x+12=-4+12`

`\implies x+3y=8`