# How to write an equation of a line with slope

Simply by changing the values of m and b, you can define any line.

Affiliate Common exercises will give you some pieces of information about a line, and you will have to come up with the equation of the line. It has two slider bars that can be manipulated. They've given me the value for m, along with values for an x and a y. The slope-intercept form can also help you to write the equation of a line when you know the slope and a point on the line or when you know two points on the line.

When lines in a plane are parallel that is, they never crossthey have the same slope.

### Finding the equation of a line given two points

Because this equation describes a line in terms of its slope and its y-intercept, this equation is called the slope-intercept form. The slope-intercept form can also help you to write the equation of a line when you know the slope and a point on the line or when you know two points on the line. This is great for graphing , and can be quite useful for word problems. In this equation, x and y are coordinates of a point, m is the slope , and b is the y-coordinate of the y-intercept. There is, ironically, no standard definition of "standard form". Authored by: Mathispower4u. The bar labeled b changes the y-intercept. A linear equation can be expressed in the form. I like slope-intercept form the best. There are different types of "standard" formats for straight lines; the particular "standard" format your book refers to may differ from that used in some other books. Provided by: Lumen Learning. How accurate do you think this model is?

Changing the value of b moved the line around the coordinate plane. A linear equation can be expressed in the form. So the only thing I don't have so far is a value for is b which gives me the y-intercept. Now that you understand the slope-intercept form, you can look at the graph of a line and write its equation just by identifying the slope and the y-intercept from the graph.

### How to find the equation of a line with one point and no slope

Licenses and Attributions Revision and Adaptation. When the absolute value of m gets close to zero, the slope flattens. Authored by: James Sousa Mathispower4u. For this line, the slope is , and the y-intercept is 4. Nowadays, you likely needn't worry too much about the "standard" forms; this lesson will only cover the more-helpful forms. Now that you understand the slope-intercept form, you can look at the graph of a line and write its equation just by identifying the slope and the y-intercept from the graph. How do you do that? So the only thing I don't have so far is a value for is b which gives me the y-intercept.

When the absolute value of m gets close to zero, the slope flattens. I think the most useful form of straight-line equations is the "slope-intercept" form: Affiliate This is called the slope-intercept form because "m" is the slope and "b" gives the y- intercept.

We are to use y to represent cost, and x to represent the number of months we have used the phone. For this line, the slope isand the y-intercept is 4.

The following video gives a thorough explanation of making a prediction given a linear equation.

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