In two or more complete sentences describe the process in writing the equation of a line given two points?

Regression line equation is in which form of equation?a.intercept form of equationb.point slope form of equationc.two point form of equationd.no form of equation

Which of the following options represents the form of a linear equation that should be used to write the equation of a line when the slope and a point on the line are given?factored formstandard formpoint-slope formgeneral form

To find an equation for a line between two points, you need two things.The y𝑦-intercept of the graph.The slope of the line.Previously, you learned how to determine the slope between two points. The slope between any two points (x1,y1)(𝑥1,𝑦1) and (x2,y2)(𝑥2,𝑦2) is: m=y2−y1x2−x1𝑚=𝑦2−𝑦1𝑥2−𝑥1.The procedure for determining a line given two points is the same five-step process as writing an equation given the slope and a point. First, name the points as being the first point and the second point,(x1,y1)(𝑥1,𝑦1) (x2,y2)(𝑥2,𝑦2)(−2,6)(−2,6) (4,−6)(4,−6)Next, use the coordinates of these points to fill in the formula for calculating the slope of the line.m=y2−y1x2−y1=−6−64−(−2)=𝑚=𝑦2−𝑦1𝑥2−𝑦1=−6−64−(−2)=  −12−12=−2=−2The slope of the line is −2−2.Next, use the slope of the line and the coordinates of one point to calculate the y𝑦-intercept of the line.m=−2𝑚=−2 and (−2,6)(−2,6)Next, substitute the values into the slope-intercept form of an equation.y=mx+b𝑦=𝑚𝑥+𝑏 =−2(=−2( )+b)+𝑏Next, perform the multiplication to clear the parenthesis.6=4+b6=4+𝑏Next, subtract 44 from both sides of the equation to solve for b𝑏.6−4=4−4+b6−4=4−4+𝑏 =b=𝑏Then, substitute the values for m𝑚 and b𝑏 into the slope-intercept form of the equation of a line.y=mx+b𝑦=𝑚𝑥+𝑏y=𝑦= x+𝑥+

Instructions: Write the equation of the line in Point-Slope Form given the information below.Slope =−2=−2Point =(1,−1)=(1,−1)Point-Slope Form

Which definition matches the term Line?Group of answer choicesa set of points extending forever in two opposite directionsthe intersection of the x-axis and y-axis on a coordinate plane; labeled with ordered pair, (0, 0)the ratio of any y-value to its corresponding x-value in a proportional relationship