Question

A. 5x+y=-310x +2y=-6 Questions •point intersection • graph by solving the system

Answer 1

Given the below equations;

`\begin{gathered} 5x+y=-3 \\ 10x+2y=-6 \end{gathered}`

We know that the slope-intercept form of the equation of a line is given as;

`y=mx+b`

where m = slope of the line

b = y-intercept of the line

To be able to graph each system of equations given, we have to represent them in the slope-intercept form, so we can tell their slopes and y-intercepts.

For the 1st equation;

`y=-5x-3`

where the slope(m) = -5 and the y-intercept(b) = -3. See below the graph of the line;

For the 2nd equation;

`\begin{gathered} 2y=-10x-6 \\ y=-(10x)/(2)-(6)/(2) \\ y=-5x-3 \end{gathered}`

where the slope(m) = -5 and the y-intercept(b) = -3

See below the graph of the line;

Since both equations have the same slope and y-intercept, it means that they are the same line as seen above and it will have an infinite number of solutions.