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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.
- Point-Slope
What About y = mx + b ? You may already be familiar with the...
- Y Intercept
Just find the value of y when x equals 0. Example: In the...
- Straight Line Graphs
Move the m and b slider bars to explore the properties of a...
- Point-Slope
The second equation is $y - y_1 = m(x-x_1)$. Rearranging the terms, we can get $y = mx + (y_1 -mx_1) = mx + C$ where $C = (y_1 -mx_1)$, which then we obtain the first equation.
y = mx + b is the formula used to find the equation of a straight line, when we know the slope (m) and the y-intercept (b) of the line. To determine m, we apply a formula based on the calculations. Let's derive this formula using the equation for the slope of a line. Let us consider a line whose slope is 'm' and whose y-intercept is 'b'.
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4 Οκτ 2024 · The linear equation from two points (x 1, y 1) and (x 2, y 2) describes the unique line that passes through these points. This equation can be in the standard form ( Ax + By + C = 0 ) or in the slope-intercept form ( y = ax + b ).
19 Μαΐ 2023 · In this section, we look at different ways to deduce the equation of a line given information such as slope, intercepts, points, or just a graph. First, let's recall a particularly helpful form for the equation of a line -- the slope-intercept form -- and discuss a strategy we can use to deduce an equation of this form.
Below is a representation of straight-line formulas in different forms: We know that the equation of a straight line in slope-intercept form is given as: y = (− A/B) x − (C/B) Thus, m= –A/B and c = –C/B . The intercept of a line is the point through which the line crosses the x-axis or y-axis.
