Question

Sketch a graph of the linear equation 8x + 2y = 24

Answer 1

The graph is a straight line .
Mark 2 points on the coordinate plane
When x = 0 , 2y = 24 so y = 12 so it
is the point (0, 12)
The other point is
When y = 0 , 8x = 24 so x = 3
The point is (3,0)
The straight line through these 2 points is your graph.

Answer 2

See the attached image.

Explanation:

We can most easily sketch an accurate graph of a linear function by converting it to slope-intercept form:

`y = mx + b`

In this form, two characteristics are apparent:

• 
  `m` — the line's slope
• 
  `b` — the y-coordinate of the line's y-intercept

We can rewrite the given equation:

`8x + 2y = 24`

in slope-intercept form by isolating y with the following steps:

↓ subtracting
`8x` from both sides

`2y = -8x + 24`

↓ dividing both sides by
`2`

`y = -4x + 12`

Now, comparing this to slope-intercept form, we can identify the following values:

• m = slope (rise / run) = -4
• b = y-intercept = 12

See the attached image for the graph of a line with these characteristics.