Math problem... help?

Question:Given points:
(2,4) (3,5)


how do i write an equation with only that?



&&


Given information :
m=1 (3,3)

how do i write an equation in slope intercept form?

Answers:
Assuming you need a line equation, find the slope (5-4)/(3-2) = 1

Slope intercept form is y = mx + b where m= slope and b= y-intercept. So you know it's y = 1x + b.

Plug in a known point, either one, for x and y:

5 = 1(3) + b

so b must be 2 and the answer is y = 1x + 2 or just y = x + 2

Similarly, on the other one, you know it's y = 1x + b

3 = 1(3) + b so b = 0 and answer : y = 1x + 0 or just y = x

Hope that helps
First find the slope. slope formula (y2 - y1)/(x2 - x1)

(5-4)/(3-2) = 1
In point slope form you get: y - 4 = 1( x - 2) or y - 4 = x - 2
If you want to rewrite this in slope intercept form ( y = mx + b), add 4 to both sides: y = x + 2





For the second problem, there are two ways to do it:
1st method: Write in point slope form
y - 3 = 1 (x - 3) or y - 3 = x - 3
Add 3 to both sides, y = x



2nd method: Plug point and slope into slope intercept form to find b

y = mx + b
3 = 1(3) + b
3 = 3 + b
0 = b

Thus your equation is y = 1x + 0 which simplifies to y = x

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