Choose the correct words to fill in the blanks below.substitute         slope         slope-intercept         y-interceptparallel         perpendicular         point-slope1. The equation of a line with a slope 𝑚 and 𝑦-intercept 𝑏 given in form is 𝑦=𝑚⁢𝑥+𝑏.2. The equation of a line through (𝑥1,𝑦1) with slope 𝑚 given in form is 𝑦-𝑦1=𝑚⁢(𝑥-𝑥1).3. The first method used to graph lines is to convenient values of 𝑥 into the equation, and find the corresponding values of 𝑦.4. The second method used to graph lines is to find the 𝑥-intercept and then .5. The third method used to graph lines is to find the and the 𝑦-intercept.6. Two straight lines are if they have the same slope.7. Two straight non-vertical lines are if the product of their slopes is -1.

Which equations represent a line passing through the point  (1,−3)(1,−3) and perpendicular to the line shown in the graph? Select all that apply.

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.

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.

What is the equation of a line that is perpendicular to  and that passes through the point (3, 3)? A. B. C. D. 1 points   QUESTION 5What is the equation of a line that is parallel to  and that passes through the point (3,‒1)?  A. B. C. D. 1 points   QUESTION 6Which statement best describes the lines whose equations are  and   ? A. They have the same y-intercept. B. They are perpendicular to each other. C. They never intersect each other. D. They intersect but are not perpendicular.1 points   QUESTION 7What is the slope of the perpendicular bisector of the line segment connecting points (‒1, 2) and (3, 4)? A. B. C. D. 1 points   QUESTION 8In the coordinate plane, a line segment with endpoints A(‒3, 6) and B(‒1, 0) is drawn and the perpendicular bisector of this segment is constructed.Which choice represents the point where the line segment and the perpendicular bisector intersect? A. (‒1.5, 1.5) B. (‒4, 2) C. (‒2, 3) D. (3, 6)

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)