y=2/3=1
dont know how 2 solve it 2 get the y-intercept
dont know how 2 graph it
please help and explain it
please
ty
it helps but how do i do fratcions?
solve for y
set equation equal to each other
solve for x
use "x'' value to fo y
To solve for the y-intercept and graph the equation y = 2/3x + 1, let's break it down step by step:
1. Solving for the y-intercept:
To find the y-intercept, we need to identify the value of y when x equals zero. This is because the y-intercept represents the point where the line intersects the y-axis.
In this equation, y = 2/3x + 1, let's substitute x with 0:
y = 2/3(0) + 1
y = 0 + 1
y = 1
Therefore, the y-intercept is (0, 1).
2. Graphing the equation:
To graph the equation y = 2/3x + 1, we generally need two points to plot the line. We already have the y-intercept as (0, 1), and we can find another point on the line using the slope.
The slope of the line is given by the coefficient of x, which is 2/3 in this case. The slope represents the rate at which y changes for each unit increase in x. In other words, for every 1 unit increase in x, y increases by 2/3.
To find another point, choose any x-value and calculate the corresponding y-value using the slope. For simplicity, let's choose x = 3:
y = 2/3(3) + 1
y = 2 + 1
y = 3
So, when x = 3, y = 3.
Now, we can plot the two points on a graph. Place a point at the y-intercept (0, 1) and another point at (3, 3). Once you have these two points, draw a straight line through them. This line represents the graph of the equation y = 2/3x + 1.
I hope this explanation helps you understand how to solve for the y-intercept and graph the given equation. If you have any further questions, feel free to ask!