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)

A line passes through the points (–10,12) and (14,12). Write its equation in slope-intercept form.

To write an equation in slope-intercept form when given the slope and a point, you will need to follow several steps.Step 1: Begin by writing the formula for slope-intercept form: y=mx+b𝑦=𝑚𝑥+𝑏.Step 2: Substitute the given slope for m𝑚.Step 3: Use the ordered pair you are given (x,y)(𝑥,𝑦) and substitute these values for the variables x𝑥 and y𝑦 in the equation.Step 4: Solve for b𝑏 (the y𝑦-intercept of the graph).Step 5: Rewrite the original equation in Step 1, substituting the slope for m𝑚 and the y𝑦-intercept for b𝑏.First, determine what information is given. The value of the slope (m𝑚) is 33 and the line passes through the point (9,6)(9,6) which are the coordinates of a point (x,y)(𝑥,𝑦) on the line. We will work through the steps above with this specific problem.Step 1: Write the slope-intercept form for the equation of a line.y=mx+b𝑦=𝑚𝑥+𝑏Step 2: Fill the value for m𝑚 into the equation.y=𝑦= x+b𝑥+𝑏Step 3: Since the value of the y𝑦-intercept (b𝑏) is not known, use the coordinates (x=9,y=6)(𝑥=9,𝑦=6) of the point to calculate the y𝑦-intercept.6=3(9)+b6=3(9)+𝑏Step 4: Solve for the y𝑦-intercept (b𝑏). Perform the multiplication on the right side of the equation to clear the parenthesis.6=6= +b+𝑏Next, subtract 2727 from both sides of the equation and simplify to solve for b𝑏. =b=𝑏Step 5: Rewrite original equation in Step 1. Fill in the value for b𝑏 into the slope-intercept form of the equation and simplify.y=3x+b𝑦=3𝑥+𝑏y=𝑦= x−𝑥− The equation in slope-intercept form is y=3x−21𝑦=3𝑥−21.

Find the slope of the line through the given pair of points. Do not include spaces in your answers. Use the forward slash (i.e "/") for fractions (e.g -1/2 is the same as −12−12).(−8,8)(12,−12)(−8,8)(12,−12)m=𝑚= Answer 1 Question 16

We are given both the slope and y𝑦-intercept so writing the equation in slope-intercept form is a breeze! Label both the slope and y𝑦-intercept and them substitute them into the general form of slope-intercept form.m=𝑚= b=𝑏= So, y=4x−3𝑦=4𝑥−3.We now have our slope-intercept form of the line.

Instructions: Label the slope and y𝑦-intercept of the given function. Enter the slope as a simplified fraction only.y=−14x+1𝑦=−14𝑥+1m=𝑚= Answer 1 Question 13b=𝑏= Answer 2 Question 13