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.

Write the equation of the line in slope-intercept form (y = mx + b).Slope = Point on the line = (, )

A straight line can be represented by an equation of the form y = mx + b where, m is the slope and b is the intercept. The intercept b represents:

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.

For the equation, find the slope m and y-intercept (0, b) (when they exist). (If an answer does not exist, enter DNE.)y = −2

The general equation of a line is y = mx + b.❖ m is the __________ of the line❖ b is the y-interceptThe line _______________ the y-axis at the point (0, b).The y-intercept ____________________ the line passingthrough the origin ____ or ________ by b units.The equation of a proportional relationship is y = mx.The general equation for a proportional relationship isthe ________ as the general equation for any line, justwith b __________ to ________.