Question

Can anyone help me out with my Math homework plz and also can you provide step by step explanation of the attachment I will give you 20 points:

Answer 1

y equals -x plus 2

Explanation:

for any linear equation, the equation of the line can be written in the form 'y=mx+c'. In this form, m is the slope and c is the y-intercept. We can figure out both these things using the graph.

the slope is like the incline or decline and can be found by getting two points on the line, say (x1,y1) and (x2,y2) and using the following formula:

m = (y2-y1) / (x2-x1)

Answer 2

y = -x + 2

Explanation:

For any linear equation, the equation of the line can be written in the form 'y=mx+c'. In this form, m is the slope and c is the y-intercept. We can figure out both these things using the graph.

The slope is like the incline/decline and can be found by getting two points on the line, say (x1,y1) and (x2,y2) and using the following formula:

m = (y2-y1) / (x2-x1)

So lets take two points: (-1,3) and (2,0)

m = (0-3)/(2-(-1))

m = -3/3

m= -1

The y intercept (c) is the value for x when the line crosses the y-axis.

From the graph we can see that the line crosses the y axis when x=2

∴ c = 2

Now that we know the slope and intercept, we just sub them into the formula:

y = mx +c

y = -x + 2

Let me know if you have questions :)