Answer:
y = 5x - 10
Step-by-step explanation:
Slope intercept
y = mx + b
1 - Find the slope, m, using point slope
[tex]Slope = m = \frac{rise}{run} = \frac{change~in~y}{change~in~x} = \frac{y_2-y_1}{x_2-x_1} = \frac{10~-~5}{4~-~3} = \frac{5}{1} = 5[/tex]
2 - Find the y-intercept, b, Using any points' x and y values in y = mx + b with the found slope.
Plug the slope into y = mx + b
y = 5x + b
Plug in a point (I'll use (3, 5) here however you can also use (4, 10) to get the same answer)
y = 5x + b; (3, 5)
5 = 5(3) + b
Get b alone
5 = 5(3) + b
5 = 15 + b
-15 -15
-10 = b
3 - Plug it all into y = mx + b
y = mx + b
y = 5x + (-10)
y = 5x - 10
Hope this helps
