Write the equation of the line passing through point (3,5) with the slope of 2/3
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Answer: y = 2/3x + 3
Step-by-step explanation:
To write the equation in y = mx + b, or slope-intercept form, we first need to find the y-intercept.
To do that, we will need to plug our numbers into y = mx + b. y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.
It should look something like this:
5 = 2/3(3) + b
Now we simplify.
5 = 2 + b
Subtract 2 from both sides.
5 - 2 = 2 - 2 + b
Simplify.
3 = b
Our y-intercept is 3.
Now, we can form our equation
y = 2/3x + 3
Answer:
y = 2/3x + 3
Step-by-step explanation:
- First, we need to find the y-intercept of the equation.
y = 2/3x + b
- Plug the x and y values.
5 = 2/3(3) + b
5 = 2 + b
- Subtract 2 from both sides.
3 = b