Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
[tex]y-2=\displaystyle -\frac{3}{4}(x-1)[/tex]
OR
[tex]y=\displaystyle -\frac{3}{4}x+\frac{11}{4}[/tex]
Step-by-step explanation:
Hi there!
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a given point
Given that the slope is -3/4, we can plug it into [tex]y-y_1=m(x-x_1)[/tex] as m:
[tex]y-y_1=\displaystyle -\frac{3}{4}(x-x_1)[/tex]
We can also plug in the given point (1,2):
[tex]y-2=\displaystyle -\frac{3}{4}(x-1)[/tex]
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
To write the equation in slope-intercept form, isolate y:
[tex]y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}[/tex]
I hope this helps!
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.