Answer: y=1x+17
Explanation:
You want to find the equation for a line that passes through the point (4,21) and has a slope of 01.
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 01. So you can right away fill in the equation for a line somewhat to read:
y=01x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(4,21). When x of the line is 4, y of the line must be 21.
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 1 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 specfically passes through the the point (4,21).