The final equation of the secant line intersecting the curve y=x2−4 at x=−1 and x=2 is y=x−2. This result is derived by calculating the slope m=1 between the points (−1,−3) and (2,0), then applying the point-slope formula and simplifying to slope-intercept form.
Conditions: The curve is y=x2−4.; The secant line intersects the curve at x=−1 and x=2.; The equation is expressed in slope-intercept form (y=mx+b).
The final equation of the secant line intersecting the curve y=x2−4 at x=−1 and x=2 is y=x−2. This result is derived by calculating the slope m=1 between the points (−1,−3) and (2,0), then applying the point-slope formula and simplifying to slope-intercept form.
Conditions: The curve is y=x2−4.; The secant line intersects the curve at x=−1 and x=2.; The equation is expressed in slope-intercept form (y=mx+b).
To find the equation of any line, you need two pieces of information: a point on the line (with an x, y coordinate) and the slope of the line. Once these are known, the equation can be constructed using forms like the point-slope formula.
Conditions: The object is a straight line in a 2D Cartesian coordinate system.; The goal is to determine its algebraic equation.
To find the equation of any line, you need two pieces of information: a point on the line (with an x, y coordinate) and the slope of the line. Once these are known, the equation can be constructed using forms like the point-slope formula.
Conditions: The object is a straight line in a 2D Cartesian coordinate system.; The goal is to determine its algebraic equation.