Respuesta :

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

The equation of a line is:

[tex]y = mx+b[/tex]

  • m is the slope
  • b is the y-intercept

[tex]m=\frac{5-3}{4-3}[/tex]

[tex]m=\frac{2}{1}[/tex]

[tex]m=2[/tex]

[tex]y=2x+b[/tex]

[tex](3, \: 3)[/tex]

[tex]y=mx+b[/tex]

[tex]3=2 \times 3+b[/tex]

[tex]b=3-(2)(3)[/tex]

[tex]b=-3[/tex]

[tex]y=2x+-3[/tex]

Answer:

y - 3 = 2(x - 3)

Step-by-step explanation:

Please use parentheses to indicate points:   the points 3, 3 and 4, 5 should be written as (3, 3) and (4, 5).

As we move from the first point to the second, x increases by 1 and y increases by 2.  Thus, the slope of the line connecting these two points is m = rise / run = 2 / 1 = m = 2

Using the point-slope formula y - k = m(x - h), we obtain:

y - 3 = 2(x - 3)