The equation of any given line is:
y = mx + c
Where the m is gradient, the y is the y-axis, the x is the x-axis and the c is the y-intercept.
Given gradient to be 3, the coordinate (1,10). Let’s substitute the values into the equation.
Let m = 3
y = 10
x = 1
10 = 3(1) + c
Given this equation we have to solve for c.
10 = 3(1) + c
10 = 3 + c
10 - 3 = c
7 = c
Therefore, c which is the y-intercept is 7.
Now we rewrite the equation of the line with the c value.
y = 3x + 7
