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: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slope form. State the slope.Point One: (1,2)(1,2)Point Two: (0,−1)

Instructions: Find the slope between the two points given. Then, use the slope and Point One to write the equation of the line in Point-Slope form. State the slope.Point One: (4,5)(4,5)Point Two: (−3,3)(−3,3)Equation: Slope: Point:

Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (1, 2). Use the box provided to submit all of your calculations and final answer.

Instructions: Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slope-Intercept form. State the slope and y𝑦-intercept.(−1,−3)(−1,−3) and (−2,−5)

Now, let’s use the graph to write the equation in point-slope form this time.To write an equation in point-slope form, we need the slope and one point on the line. We already know the slope so let’s state that again so we don’t forget.m=12𝑚=12We just need one point on the graph (usually we pick a different point than the y𝑦-intercept). We used two points to find the slope so let’s just pick one of those. We will use the point (2,−1)(2,−1). We have the slope and a point so now let’s plug it into point-slope form.y−y1=m(x−x1)𝑦−𝑦1=𝑚(𝑥−𝑥1)y−(−1)=𝑦−(−1)=  (x−(𝑥− ))y+1=12(x−2)𝑦+1=12(𝑥−2)