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)