Answer:
y = 2x - 4
Step-by-step explanation:
The general form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope = 2
Therefore, the equation of the line becomes:
y = 2x + c
Now, we will need to get the value of c.
We are given that (7,10) belongs to the line. This means that this points satisfies the equation of the line. So, we will substitute with this point in the equation and solve for c as follows:
y = 2x + c
10 = 2(7) + c
10 = 14 + c
c = 10 - 14
c = -4
Based on the above, the equation of the line is:
y = 2x - 4
Hope this helps :)