Question

Write the equation of the line

in the form y= mx + C,
Q1) which passes through
(1,4) and has gradient 9

Answer 1

gradient is the same as slope

so m=9

Explanation:

y=9x+C. insert point(1,4)

4=9*1+C

4-9=C

C=-5

so the equation of the line is y=9x-5

Answer 2

The equation of the line in the form y= mx + C, which passes through

(1,4) and has gradient 9 is

Explanation:

We need to write the equation of the line in the form y= mx + C, which passes through (1,4) and has gradient 9

The equation of form
`y=mx+c` has m equals to slope and c equals to y-intercept

So, we need to find slope and y-intercept.

Finding Slope

We are given gradient = 9

Gradient is also known as slope, so m = 9

Finding y-intercept

Using point (1,4) and slope m = 9, we can find y-intercept

`y=mx+c\\4=9(1)+c\\4=9+c\\c=4-9\\c=-5`

So, y-intercept is: c = -5

Equation of line

Now, the equation of line having slope m = 9 and c= -5 is:

`y=mx+c\\y=9x-5`

So, the equation of the line in the form y= mx + C, which passes through

(1,4) and has gradient 9 is