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

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

(1,4) and has gradient 9 is

Step-by-step 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   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

So, y-intercept is: c = -5

Equation of line

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

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

(1,4) and has gradient 9 is

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.