FREE BRAINLIEST
Write an equation of the line with the given conditions.
(2,5); slope 3

y=3x-1

Step-by-step explanation:

You want to find the equation for a line that passes through the point (2,5) and has a slope of 3.

First of all, remember what the equation of a line is: y = mx+b

Where: m is the slope, and b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 3. So you can right away fill in the equation for a line somewhat to read: y=3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(2,5). When x of the line is 2, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (2,5).

So, why not plug in for x the number 2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(2,5). y=mx+b or 5=3 × 2+b, or solving for b: b=5-(3)(2). b=-1.

The equation of the line that passes through the point (2,5) with a slope of 3

is

y=3x-1

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation:

step-by-step explanation: