Answer:
y = 3x - 8
Step-by-step explanation:
The equation in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope = 3
Therefore, the equation becomes:
y = 3x + c
Now, we need to get the value of c. We are given that the point (6,10) belongs to the line. Therefore, we will substitute with this point in the equation of the line and solve for c as follows:
y = 3x + c
10 = 3(6) + c
10 = 18 + c
c = 10 - 18
c = -8
Based on the above, the equation of the line is:
y = 3x - 8
Hope this helps :)