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##### Asked by: Baba Pes

medical health pharmaceutical drugs# Does every line have a slope intercept equation?

Answer: (a) No,

**every equation**of**linecan**'t be written in**slope Intercept form**which**can**be explained in the following way. →y=m x +c, wherem**is slope**of**line**and c**is**y**intercept**. if, c=0, then**line will**be not in**slopeintercept form**.

In this regard, how do you find the slope intercept form of a line?

- Identify the slope, m. This can be done by calculating theslope between two known points of the line using the slopeformula.
- Find the y-intercept. This can be done by substituting theslope and the coordinates of a point (x, y) on the line in theslope-intercept formula and then solve for b.

**Slope intercept form is used when your linear equation iswritten in the form:**

- y = mx + b.
- Graph the equation: y = 2x + 4.
- Slope = 2 or 2/1.
- Y-intercept = 4 or (0,4)
- Step 1: Plot the y-intercept on your graph.
- Step 2: From the y-intercept (0,4) use the slope to plot yournext point.

Thereof, what is the equation for a line with no slope?

Note: The **equation** of the x-axis is y = 0.**Lines** that are vertical have **no slope** (it does notexist, undefined). They have "rise", but **no** "run". Therise/run formula for **slope** always has a **zero**denominator and is undefined.

To calculate the **slope** of a line you need onlytwo points from that line, (x1, y1) and (x2, y2). The equation usedto calculate the **slope** from two points is: On a graph, thiscan be represented as: There are three steps in calculating the**slope** of a straight line when you are not given itsequation.