![]() Now that you know the slope, get the y-intercept by substituting it into the equation (first or second.)ī = y₁ - x₁ (y₂ - y₁) / (x₂ - x₁) How Do You Find the Equation of a Line? In the slope intercept form, find the line’s equation. Subtract the first equation from the second.ģ.ĝivide the sides of the equation by (x₂ - x₁) to identify the slope. Substitute the two points’ coordinates in the equation.Ģ. What you don’t know is the slope (m) and the y-intercept (b).ġ. The first will be ( x1, y1), and the second ( x2, y2). The Slope-Intercept Formula By now, you’ll want to cut to the chase and find the slope-intercept form of a linear equation. You will learn more about that below, including the importance of this rule in linear equations. In a linear equation, you find it by substituting x for 0 (x = 0). It crosses the straight line at the y-axis. If the difference in x is positive, y increases. It determines any changes in y due to a fixed shift in x. The slope part refers to a gradient or incline. These values come in handy for linear interpolation. You learn the slope is m and the y-intercept is b. The slope-intercept form has an equation that looks like y = mx + b, as mentioned before. ![]() A linear equation describes a straight line, using a slope-intercept form to express it. You will see an x and y, but you won’t see an x2 or y2. Straight line equations, or linear equations, have no terms with exponents. You can use a parabola calculator to learn more about that side of things. With this slope intercept form calculator, you work with the straight line. The relationship of a straight line (with b and m as numbers) are y = mx + b. An example of that would be the quadratic function – y = x2 + x, which is a parabola. What goes with x determines the line you have. Both are points that contribute to that line. Definition of Slope-Intercept Form You can describe a line in a flat plane as having an X and Y axis. ![]() Read on to discover more about slope intercept formulas, linear equations, and more. This tool lets you find the x and y-intercepts and the coefficients of the slope. Do you need to find an equation for a line that passes through two points? It might seem challenging, but a slope intercept form calculator can help.
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