hi how are you today on this day
<span>When you have an equation of the form y = mx + b (which you do in this case), the slope is always equal to the coefficient of x, which is m or 12 in this case. Since there is no "b" in your equation, you could say that b=0, and the line is known to cross the y axis at zero.
In case you are interested, if the equation said y = 12 x + 3 the slope of the line would still be 12 but the line would cross the y axis at 3. If the equation said y = 12x -4, the line would have a slope of 12 and would cross the y axis at -4.</span>
Add y to both sides then do the algebra
Ok so, y = mx + c is the equation of a line
When a graph is written in this form, m is the slope/gradient and c is the y - intercept.
This form is needed when a question asks for the equation.
Lets say they give 2 sets of coordinates, we can use the point slope formula to find the slope (m)
point slope formula:
(y₂ - y₁) = m(x₂ - x₁)
Then we substitute any of the two set of coordinates to find c, the y - intercept.
So the line has a gradient of m and y - intercept of c
