Question

Find the equation of the line shown

Answer 1

y=1/2x+1/2

Explanation:

In order to find the slope, you can use rise/run, in this case, the slope is 1/2 and the y-intercept is at (0, 0.5)

Answer 2

The equation of the line shown in the graph is determined to be:

• 2y = x + 1

How to determine the slope of the line shown?

To obtain the equation of the line, we shall obtain the slope and y-intercept of the graph. This is shown below:

For intercept:

The intercept of the graph on the y-axis is where the line cut through the y-axis. Thus, on the graph, the line cut the y-axis at 0.5

For slope:

Coordinate on x-axis:

• x₁ = 1
• x₂ = 4

Coordinate on y-axis:

• y₁ = 1
• y₂ = 2.5

Slope of line (m) =?

`m = (y_2\ -\ y_1)/(x_2\ -\ 1_1)\\\\m = (2.5\ -\ 1)/(4\ -\ 1)\\\\m = (1.5)/(3)\\\\m = 0.5`

Now, we shall determine the equation of the line. Details below:

• y-intercept (c) = 0.5
• Slope (m) = 0.5
• Equation of line =?

Equation of line = y = mx + c

y = 0.5x + 0.5

Divide through by 0.5

2y = x + 1

Thus, the equation is 2y = x + 1