# Write an equation in slope intercept form of the line shown

Then solve the missing value of b.

## Slope intercept form graph

Notice that in the graph below, the red dot is always found on the main vertical axis of the Cartesian plane. Nowadays, you likely needn't worry too much about the "standard" forms; this lesson will only cover the more-helpful forms. 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. So our next goal is to somehow figure out what the value of b first. Identifying the known values. That is the basic characteristic of the y-intercept. So the only thing I don't have so far is a value for is b which gives me the y-intercept. Point-Slope Form Parallel, Perpendicular Lines Purplemath Straight-line equations, or "linear" equations, graph as straight lines, and have simple variable expressions with no exponents on them. This is great for graphing , and can be quite useful for word problems. Then solve the missing value of b.

Notice that in the graph below, the red dot is always found on the main vertical axis of the Cartesian plane. Just plug in your x-value; the equation is already solved for y.

If you see an equation with only x and y — as opposed to, say x2 or sqrt y — then you're dealing with a straight-line equation. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified or read off from this form.

### Slope formula

Substitute the known values into the slope-intercept formula, and then solve for the unknown value of b. I like slope-intercept form the best. They've given me the value for m, along with values for an x and a y. So our next goal is to somehow figure out what the value of b first. Then solve the missing value of b. But the best part about the slope-intercept form is that you can read off the slope and the intercept right from the equation. Again, the value of y-intercept b is not directly provided to us. The procedure for solving this problem is very similar to examples 3, 4 and 5.

But the best part about the slope-intercept form is that you can read off the slope and the intercept right from the equation. So our next goal is to somehow figure out what the value of b first.

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.

### Write an equation in slope intercept form of the line shown

Point-Slope Form Parallel, Perpendicular Lines Purplemath Straight-line equations, or "linear" equations, graph as straight lines, and have simple variable expressions with no exponents on them. 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. This is great for graphing , and can be quite useful for word problems. How do you do that? The procedure for solving this problem is very similar to examples 3, 4 and 5. 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. I like slope-intercept form the best. But the best part about the slope-intercept form is that you can read off the slope and the intercept right from the equation. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified or read off from this form. Nowadays, you likely needn't worry too much about the "standard" forms; this lesson will only cover the more-helpful forms. They've given me the value for m, along with values for an x and a y. So our next goal is to somehow figure out what the value of b first.

Point-Slope Form Parallel, Perpendicular Lines Purplemath Straight-line equations, or "linear" equations, graph as straight lines, and have simple variable expressions with no exponents on them.

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