Question

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

y = x + 1
y = 1
y = 2x + 1
y = 5x + 8

Answer 1

Your coordinates are (x, y)
Substitute the values of x and y and see if you get a right equation.
Another way is to make an equation using slope-intercept form:
y = mx + b
Find the slope first.
Do you know the slope formula?

Answer 2

its going to be a

Answer 3

Slope Formula\[m=\frac{y_{2} - y_{1}}{x_{2}-x_{1}}\] \[\frac{9-5}{8-4} = \frac{4}{4} = 1\]

Slope=1
(4,5)
\[5 = 4(1) +b \\ 5=4+b \\ b=1\]

\[y=x+1\]