Answer:
y = (2/3)x + 4
Explanation:
The equation for a line in slope-intercept form is given by:
y = m x + c
Here,
y and x → coordinates of a point on the line.
m → slope of the line.
c → y-intercept
- In this case, you are given the point (-3, 2) through which the line passes, and the slope is 2/3.
- You can plug these values into the equation to solve for c.
2 = (2/3)(-3) + c
Now, calculate the value of c.
2 = (-2) + c
Add 2 to both sides to isolate c.
c = 2 + 2
c = 4
So, the equation of the line passing through the point (-3, 2) with a slope of 2/3 is:
y = (2/3)x + 4