Example 6: Writing Linear Equations Using Two Points Write the point-slope form of an equation of a line that passes through the points (5, 1) and (8, 7). Then rewrite it in the slope-intercept form. Solution Let’s begin by finding the slope. ⎧⎪⎪ ⎪ ⎪ ⎪⎨⎪...
Math Pre-Calculus Linear equations Write the equation in point-slope form of the line that passes through the points (-2, 5) and (4,...Question:Write the equation in point-slope form of the line that passes through the points (-2, 5) and (4, -3)....
Slope-intercept form y = 3x +2 Writing an Equation of a Line Through Two Points Points (-2, 5) and (4, -1) The point-slope formula: 5 -1 -1 4 5 -2 Simplify. Because the final answer is required in slope-intercept form, simplify the equation and solve for y. y– 5 = -1(...
Point-Slope Form of the Equation of a Line The line with slope m passing through the point (x1, y1) has an equation y = m(x − x1) + y1 or y − y1 = m(x − x1), the point-slope form of the equation of a line. Example: Determining a point-slope form (1 of 3) Fin...
Through the intervention, the student comprehended slope m as a unit rate and expanded this understanding to y = mx for integer x by iterating m, x number of times. She also successfully used this newfound understanding to construct linear equations, including tangent line equations...
What is the point slope form of the line with slope -37that passes through the point (5, 8)? Functions: y=mx+b y−yo=m(x−xo) Answer and Explanation:1 Data: m=−37P=(5,8) Equation: y−yo=m(x−xo) Calculations: ...
Graphing Point-Slope Form One of the advantages ofwriting equationsof lines in point-slope form is that it makes it quite simple to graph the line from the equation. Two points are required to define a line. One point is already given in the point-slope form. A second point can be foun...
Graphing Point-Slope Form One of the advantages ofwriting equationsof lines in point-slope form is that it makes it quite simple to graph the line from the equation. Two points are required to define a line. One point is already given in the point-slope form. A second point can be foun...
However, the slope only describes the angle or gradient of the line, but not its position on a graph. The most common way to describe a line is with an algebraic equation. There are several standard equations for a line: point-slope form, slope-intercept form, and standard form. ...
Point-Slope Form Given a point (x1,y1)(x1,y1) and slope m, point-slope form will give the following equation of a line: y−y1=m(x−x1)y−y1=m(x−x1)Now that we know both the slope-intercept form and the point-slope for linear equations, when we are asked to find an ...