Please help omg. ASAP.

We have to find the equation of the red line

To get the equation of the line in the slope-intercept form,

we need its slope and its y-intercept

Finding the Slope

we know that the slope of a line is the rise of the line / run of the line between 2 points

here, the 2 points are already marked on the graph

So, slope = rise / run

we notice that the line rises only 2 units and runs 8 units between the points: (-5 , 3 ) and (3 , 5)

Slope = rise  / run

now that we know the values of rise and run, we can plug the values to get the slope

Slope  = 2 / 8

Slope = 1 / 4

Finding the y-intercept

We will now look at the point (-5 , 3) , we know that the slope is 1/4.

which means that every time the line moves 1 unit to the right, it also moves 1/4 units up

So, until the point (-1 , 4), the line has finally ascended 1 unit and now is at a proper coordinate

We can see that the line is only 1 unit to the left of the y-axis, so the y-coordinate of the line after moving 1 unit to the right is the y-intercept

since the line ascends 1/4 units every time it moves 1 unit to the right,

the ordinate of the line at the y-axis will be 1/4 more than the last ordinate (which was 4)

y-intercept = (4 + 1/4)

y-intercept = 17 / 4

Equation of the line

From the question, we know that the general form of the slope-intercept form is :

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

y = (1/4)x + (14/4)

y = (x + 14) / 4

it has the same slope and a different y-intercept

hope this : )

a

step-by-step explanation: