Question

Write an equation for the line in the following problems.
I NEED THIS ASAP

Answer 1

Graph 1: y = (-3x/5) + 1

Graph 2: y = 4

Explanation:

Both functions are linear, so we can use a linear equation to model these functions. Using slope-intercept form, "y=mx+b" will be easiest, since the graph is shown.

Graph 1:

(1 - (-2))/(0 - 5) = (1 + 2)/-5 = -3/5 = slope

y-intercept (0, 1)

y = (-3x/5) + 1

Graph 2:

(4 - 4)/(1 - 0) = 0 = slope

y-intercept (0, 4)

y = 0x + 4

y = 4

Answer 2

First equation :
`y=-(3)/(5)x +1`

Second equation : y = 4

Explanation:

We want to write equations for the two given lines in slope intercept form

y = mx + b

Where m = slope and b = y intercept

Identifying the y intercept

First lets find the y intercept.

The y intercepts is where the line passes the y axis.

By looking at the first line it appears that the line passes the y axis at (0,1) meaning the y intercept is 1 so b = 1

Identifying the slope

We can find the slope using the slope formula

slope = (y1-y2)/(x1-x2)
Where the values of x and y derive from any two points on the line. (x1,y1) and (x2,y2)

The points used may vary as there are many options however I have chosen (0,1) and (-5,4)

So (x1,y1) = (0,1) and (x2,y2) = (-5,4)

Meaning x1 = 0 , y1 = 1 , x2 = -5 and y2 = 4

( we now plug these into the slope formula )

Again recall slope = (y1-y2)/(x1-x2)

==> plug in x1 = 0 , y1 = 1 , x2 = -5 and y2 = 4

slope = (1-4)/(0-(-5))

==> reduce subtraction

slope = -3/5

so our slope(m) is -3/5

Plugging in slope and y intercept into slope intercept form

Finally we plug in the values of m and b into slope intercept form to get the equation

Again we have y = mx + b

m = -3/5 and b = 1

So our equation is y = -3/5x + 1

Identifying equation for second line

When we have a horizontal line our equation is going to be put in y = b form where b = the y value that the line crosses. (or y intercept)

Here the line goes through the y value of 4 so b = 4

Hence, the equation of the second line would be y = 4