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To find the equation of a line y=mx-b, calculate the slope of the line using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. Substitute the value of the slope m to find b (y-intercept).
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How do we find "m" and "b"? b is easy: just see where the line crosses the Y axis. b = 1 (value of y when x=0) Putting that into y = mx + b gets us: With that equation we can now ... ... choose any value for x and find the matching value for y. For example, when x is 1: y = 2×1 + 1 = 3. So when x=1 we have y=3.
A linear equation represents a straight line on a coordinate plane. It can be written in the form: y = mx + b where m is the slope of the line and b is the y-intercept.
In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is. It can have either a positive or a negative value.
18 sty 2024 · Slope intercept form reads y = mx + b, where m is the slope (steepness) of the line, and b is the y-intercept, i.e., the value at which the line intersects the vertical axis. For example, y = -2x + 3. Standard form reads Ax + By + C = 0, where A, B, C are integers. For example, 2x + y - 3 = 0.
Substitute known values in the slope-intercept form [latex]y = mx + b[/latex] to solve for [latex]b[/latex].
15 gru 2023 · One way is to use the slope-intercept form. Use the two points to solve for the slope. Once you have the slope, plug one of the points into the slope-intercept form (y = mx + b). M is the slope, then plug in any coordinate using one of the points. Solve for B. B is the y-intercept.
