Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

graph and label the lines given the equation in point slope form. Convert to slope intercept to graph.y-2=3/4(x+5)y+4= -5/2(x-6)y-8= -2(x+1)

Graph And Label The Lines Given The Equation In Point Slope Form Convert To Slope Intercept To Graphy234x5y4 52x6y8 2x1 class=

Sagot :

The general point slope form of a line is given as;

[tex]y-y_1=m(x-x_1_{})[/tex]

From the 1st given equation, we can deduce that;

[tex]y_1=2,m=\frac{3}{4},x_1=-5[/tex]

From the 2nd equation, we can deduce that;

[tex]y_1=-4,m=-\frac{5}{2},x_1=6[/tex]

From the 3rd equation, we can deduce that;

[tex]y_1=8,m=-2,x=-1[/tex]

Let's go ahead and graph the lines;

Let's convert each of the given equations to a slope intercept form equation;

Remember, that the equation in a slope intercept form is always given as;

[tex]\begin{gathered} y=mx+c \\ \text{Where m is the slope and c is the intercept} \end{gathered}[/tex]

So, converting the 1st equation into the slope intercept form, we'll have;

[tex]\begin{gathered} y-2=\frac{3}{4}(x+5) \\ 4y-8=3x+15 \\ 4y=3x+23 \\ y=\frac{3}{4}x+\frac{23}{4} \\ y=0.75x+5.75 \\ \lbrace m=0.75,c=5.75\} \end{gathered}[/tex]

Let's go ahead and convert the 2nd equation;

[tex]\begin{gathered} y+4=-\frac{5}{2}(x-6) \\ 2y+8=-5x+30 \\ y=-\frac{5}{2}x+11 \\ y=-2.5x+11 \\ \lbrace m=-2.5,c=11\rbrace \end{gathered}[/tex]

Let's convert the 3rd equation;

[tex]\begin{gathered} y-8=-2(x+1) \\ y=-2x-2+8 \\ y=-2x+6 \\ \lbrace m=-2,\text{ }c=6\rbrace \end{gathered}[/tex]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.