Question

Please help me I’m so so confused!!!!!!!! need help within the next 30 minutes!!!!!!!!

Answer 1

3)
`\sf y = -2x + 4`

4)
`\sf y = (4)/(3)x - 4`

Explanation:

The slope-intercept form of a linear equation is given by
`\sf y = mx + b`, where
`\sf m` is the slope and
`\sf b` is the y-intercept.

3)

Let's take two points (2,0) and (0,4) from the line from the graph.

For the points (2, 0) and (0, 4):

First, calculate the slope (
`\sf m`) using the formula:

`\sf  m = (y_2 - y_1)/(x_2 - x_1)`

`\sf  m = (0 - 4)/(2 - 0)`

`\sf  m = (-4)/(2)`

`\sf  m = -2`

Now that we have the slope, choose one of the points (let's use (2, 0)) and substitute the values into the equation:

`\sf  y = mx + b`

`\sf  0 = -2 * 2 + b`

`\sf  0 = -4 + b`

`\sf  b = 4`

Now, substitute the value of m and b in slope intercept form.

`\sf y = -2x + 4`

Therefore, the equation of the line is
`\sf y = -2x + 4`.

4)

Let's take two points (3,0) and (0,-4) from the line from the graph.

For the points (3, 0) and (0, -4):

Calculate the slope (
`\sf m`):

`\sf  m = (0 - (-4))/(3 - 0)`

`\sf  m = (4)/(3)`

Now, choose one of the points (let's use (3, 0)) and substitute the values into the equation:

`\sf  y = mx + b`

`\sf  0 = (4)/(3) * 3 + b`

`\sf  0 = 4 + b`

`\sf  b = -4`

Now, substitute the value of m and b in slope intercept form.

`\sf y = (4)/(3)x - 4`

Therefore, the equation of the line is
`\sf y = (4)/(3)x - 4`.