Answer:
y = 4x - 14
Explanation:
The equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
We can calculate the slope with the two given points. Slope is the Rise/Run between these 2 points:
(4,2) and (6,10)
Rise: 10 - 2 = 8
Run: 6 - 4 = 2
Slope = Rise/Run = 8/2 = 4
m is 4, so we can write: y = 4x + b
We can find b by entering either of the given points and solving for b. I'll use (4,2):
y = 4x + b
2 = 4*(4) + b
2 = 16 + b
b = -14
The equation becomes y = 4x - 14
See the attached graph.