Question

Find the gradient of y=3x

Answer 1

Hi there,

please see below for solution steps.

   ___________

When all we're given is a little equation in slope-intercept form, we can easily find the gradient (or slope). How?

Well, did you know that the equation form is $\sf{y=mx+b}$?

Here,

◉ the m number is the slope

◉ the b number is the y intercept

Thus

$\begin{gathered} \boldsymbol{Equation:} \\\boldsymbol{y=mx+b} \\\boldsymbol{Slope: m \ ; \ y-intercept=b} \\\boldsymbol{Equation: y=3x} \\\boldsymbol{Slope: 3; y-intercept=0, or \ (0,0)} \end{gathered}$

Hope the answer - and explanation - made sense to you,

happy studying !!

                                                                                           $\tiny\boldsymbol{Frozen \ Melody}$

Answer 2

Answer: Gradient (or slope) = 3, the y-intercept is at (0, 0)

Step-by-step explanation:

      The gradient of a line, also known as the slope, is the steepness of the line. When given the equation is slope-intercept form, as we are here, the slope is m in y = mx + b.

      This means the gradient is 3.

      Since we have "no b value" present, this means it is equal to 0 and the coordinates of the y-intercept is (0, 0).

See attached for more about slope-intercept form and a graph of the line.