How to Find Slope-Intercept Form?
Equation of a Line slope and intercept form Definition: Try this Adjust the sliders on the right. They control the slope m and the intercept b of the line.
The equation and the line will change accordingly. You can also drag the origin.
Any straight line on the coordinate plane can be described by the equation Where: In the figure above, adjust both m and b with the sliders to see the effect of these variables. The word "linear" is derived from "line". What is the equation used for? The equation of a line is used in two main ways. As a compact way of defining a particular line.
You could then plot this line exactly. To locate points on the line. Find two points to draw the line We need to find two points on the line, then draw the line through them. We now simply draw the line through the two points as in Fig 1. To check, press reset in the figure above and verify the result.
You can print blank graph paper at Blank Graph Paper and try it yourself, perhaps with a different equation. We are being asked to find the coordinates of the point where it crosses the x-axis. Referring to the figure, you can see that where the line crosses the x-axis, the y-coordinate is zero.
So we substitute zero into the equation for y, and solve it for x: This is of course zero for any value of x, and so is a straight horizontal line passing through the origin.
Now adjust the slider for b the interceptletting it settle on, say, Play with the b slider and see that the it has the effect of moving the whole line up and down.
Adjust the m slider slope and observe the result. As you increase m, the line gets steeper. As you reduce it below zero, the negative slope makes the line slope down to the right.
But note that the line always passes through the y axis at the same point 10 in this case.Practice for slope, y-intertcept, and writing equations Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) Slope = −1, y-intercept = −5 2) Slope = −1, y-intercept . where m is the slope of the line and b is the intercept. Try this Adjust the sliders on the right.
They control the slope (m) and the intercept (b) of the line. The equation and the line will change accordingly. You can also drag the origin. b is the intercept (where the line crosses the y-axis. Learn how to find the equation of the line with a slope of -3/4 that goes through the point (0,8).
The slope intercept form calculator will find the slope of the line passing through the two given points, its y-intercept and slope-intercept form of the line, with steps shown. Show Instructions In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`.
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The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.. If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation of the line.