Question

Hi, please can you help with this graph equation problem?

The gradient is 3 which passes through (1,10)

Find the equation of the line

Answer 1

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