Question

Help me please and explain this to me

Answer 1

The format of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.

We can clearly identify the y-intercept as 1. The y-intercept is where the line crosses the y-axis, which is where x=0. Therefore, the answer must be B or C because the y-intercept in those equations is 1 (in A it is -2 and in D it is -1).

The slope of a line is the rate of change. The formula to find the slope of a line is (y2-y1)/(x2-x1)=m. We can pick any two coordinate pairs from the table; we'll use (0, 1) and (1, -1). This makes x1=0, x2=1, y1=1, and y2=-1. Plug in and solve:

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

-2/1=m

-2=m

C. y=-2x+1

Hope this helps!!

Answer 2

y = -2x +1

Explanation:

We can find the slope of the function by using the equation

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

We will use the points (3,-5) and (4,-7)

= (-7--5)/(4-3)

= (-7+5)/(4-3)

= (-2)/1

-2

We also know the y intercept ( when x=0 y=1) is 1

If we know the slope and the y intercept, we can use the slope intercept form of the equation of a line

y = mx+b where m is the slope and b is the y intercept

y = -2x +1