Question

How do you write an equation given (2,3); m=2

Answer 1

Given :

point is ( 2, 3 )

slope of line , m= 2

standard equation of line , when a point and slope is give is

y = mx + c

where

• m = slope of line
• c = constant
• y and x is given in point

so from given point and slope , we can write the equation as follows

y = mx + c. ......eq 1

= > 3 = 2 * 2 + c ..... eq.2

=> 3 = 4 + c

= > c = -1

now put the value of constant c in eq 1 and we get ,

y = 2x - 1

Thanks ❤

Answer 2

y = 2x - 1

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line