Why do we use y=mx c

This equation also forms an important equation in the new science of artificial intelligence, to help predict the values, based on the input variable values. It requires the slope value 'm' and the y-intercept c of the line.

Understanding this equation of the line requires us to first understand the slope m of the line and the y-intercept of this line. Slope: The alphabet m represents the slope or gradient of the line.

This can be a positive, negative, or fractional value. The slope can also be calculated by the tangent of the angle of inclination of this line, with reference to the x-axis. Intercept: In this equation, the value 'c' is called the intercept of the line. The intercept measures the length where the line cuts the y-axis, from the origin. It can also be interpreted as the point 0, c on the y-axis, through which the line is passing.

This line cuts the y-axis at the point 0, c which is at a distance of c units from the origin. The inclination of this line with reference to the x-axis or a line parallel to the x-axis is known by its slope m value. The above graph has been shown with the positive values of m and c, and in the first quadrant. Using this information, state the equation of the straight line. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors.

Find out more about our GCSE maths revision programme. Common misconceptions. Learning checklist. Next lessons. Still stuck? In order to access this I need to be confident with: Rearranging equations Negative numbers Fractions Solving equations Plotting coordinates.

This topic is relevant for:. The term linear is used to describe a straight line where the variables are raised to a power no higher than 1 If the variables are raised to a power no higher than 2 we refer to it as a quadratic If the variables are raised to a power no higher than 3 we refer to it as a cubic , and so on. We use the letter m to denote the gradient.

The bigger the gradient the steeper the line. See the diagram below. The coefficient of x is 1 as x is the same as 1x. The coefficient of x is 0. Common misconceptions Incorrect inverse operation When rearranging equations, instead of applying the inverse operation to the value being moved, the value is simply moved to the other side of the equals sign. State the gradient, m , and y -intercept, c , for the equation of the line 0. Sonnhard Graubner. Show 7 more comments.

Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. Featured on Meta. Now live: A fully responsive profile.

The unofficial elections nomination post. Linked 0. Related 4. Hot Network Questions. Question feed. Mathematics Stack Exchange works best with JavaScript enabled.