Question

Write an equation in slope intercept form for the graph of the line.​

Answer 1

Answer:

Y = 2x - 3 or Y = 8/3x - 3

Step-by-step explanation:

Y = mx + b

we have a y intercept of -3 since the graph crosses the y axis only at -3 and it heads to y = 3 starting from the y intercept.

and thus we are 5 units away from 3 which is m = a/c = 8/3

m = 8/3

y = 8/3x - 3

it's either this or we'll simply plot the final and initial positions of x and y respectiveky. so m = 3-1/3-2 = 2/1 = 2

and so the equation would turn out to be -

y = 2x -3

Answer 2

Answer:

• y = 2x - 3

Step-by-step explanation:

Slope intercept form:

• y = mx + b, where m - slope, b - y-intercept

Take two points from the graph:

• (2, 1) and (3, 3)

Find the slope:

• m = (3 - 1)/(3 - 1) = 2/1 = 2

Find the y-intercept using point (2, 1) and the equation above:

• 1 = 2*2 + b
• b = 1 - 4
• b = -3

The line is:

• y = 2x - 3