Question

state the slope of the line state the y intercept of the line now substitute those values i to the equation y=mx+b and write the equation of the line. (i'll have to take a picture of the graph

Answer 1

`y\text{ = -}(1)/(2)x\text{ +2}`

Step-by-step explanation:

Here, we want to get the slope and intercept of the given line

From the general form of a straight line equation:

`y=\text{ mx + b}`

where m is the slope and b is the y-intercept

The y-intercept is the point on the y-axis where the line crosses the y-axis

From the graph, we can see that the line crosses the graph at the point y=2 (point form (0,2))

Now, let us get the slope

Mathematically, we have the formula of the slope using two points on the line as follows:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

Now, let us pick the points.

(-8,6) and (0,2)

We have the slope calculated as:

`m\text{ = }(2-6)/(0+8)\text{ = }(-4)/(8)\text{ = -}(1)/(2)`

Finally, we write the equation of the line since we have the parameters as follows:

`y\text{ = -}(1)/(2)x\text{ +2}`