Question

Please help!!!!!!!!!!!!!!!!!

Answer 1

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

y = mx + b

where m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

Slope formula:

Plug the two points into the formula.

Subtract and simplify this fraction.

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

y = 2/3x + 4

The equation of the line is y = 2/3x + 4.

Answer 2

y = 2/3x + 4

Explanation:

Slope-intercept form of a line:

• y = mx + b
• where m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

• Slope formula:
  `\displaystyle \bf (y_2-y_1)/(x_2-x_1)`

Plug the two points into the formula.

• 
  `\displaystyle (4-0)/(0-(-6))`

Subtract and simplify this fraction.

• 
  `\displaystyle (4)/(6) =(2)/(3)`

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

• y = 2/3x + 4

The equation of the line is y = 2/3x + 4.