![]() Y = 2x – 1 Finding X and Y Intercepts You find the x-intercept value when the x crosses through the straight line. You can use x₂ and y₂ instead of x₁ and y₂Ĥ.Ĝonstruct the slope intercept form with the values For the example, it’s:Ģ.ğind the slope with the slope intercept formula Write down the first point’s coordinates. You will need the two points that go through your line. 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. Looking for video summary of this content? Checkout this helpful 5-minute video explanation of slope-intercept form.Ĭlick here to explore more helpful Albert Algebra 1 review guides.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. We have also found x and y-intercepts from an equation in slope-intercept form.We have determined slope-intercept form using a graph, using a point and a slope, and using two points.Remember, slope-intercept form is: y=mx+b.Return to the Table of Contents Summary: Slope-Intercept Form To learn more, read our review guide on the standard form of linear equations. This form can be very useful to solve systems of equations. Point-Slope FormĪ linear equation can also be written in standard form. To learn more, read our detailed review article on point-slope form. Linear equations can also be written in point-slope form, determined by one point on the line and the slope of the line. ![]() Return to the Table of Contents Other forms of linear equations
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