Question

Can someone please help☹️❤️

Answer 1

Answer:

Slope = 2      y - intercept = ( 0 , -2 )      equation:  y = 2x - 2

Step-by-step explanation:

We can begin solving by first understanding what slope is.

Slope is the rate of change in a line.

The formula for slope is:

(For any two points on a line)

m =  y₁ - y₂  /  x₁ - x₂

**m is the variable for slope

Two points on the line are: ( 6, 10 ) and ( 2, 2 )

Here is where we'll plug in the formula:

m = 10 - 2  /  6 - 2

m = 8  /  4

m = 2

Now that we have our slope, we only have to look at the graph to find the y-intercept.

The y-intercept is the point on the graph crosses the y-axis (this effectively means that the x value will always be 0)

When we look at the graph, we can see that the y-intercept is: ( 0, -2 )

All that's left is to right the equation in slope-intercept form.

The equation is arranged just as it says in the name:

y = mx + b

(m = slope   b = y -intercept)

When we plug in our variables, the equation becomes:

y = 2x - 2