Get detailed and reliable answers to your questions with IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.
Sagot :
Answer:
slope: 3
y-intercept: (0, -1)
Find slope:
[tex]\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here given points are: (0, -1), (3, 8)
[tex]\rightarrow \sf slope : \dfrac{8-(-1)}{3-0} = \dfrac{9}{3} = 3[/tex]
When finding y-intercept, the value of x is 0. Here given y is -1 when x is 0.
y-intercept: -1 or (0, -1)
SOLVING
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
If a linear function contains these points: (0,-1) and (3,8), what is its slope and y-int.?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].
Put in the values,
[tex]\bf{\dfrac{8-(-1)}{3-0}}[/tex] | subtract on top and bottom
[tex]\bf{\dfrac{9}{3}}[/tex] | divide on top and bottom
[tex]\bf{3}[/tex]
The y-intercept is the second co-ordinate of the point (0,-1)
[tex]\bf{Which\;is\;-1}[/tex].
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{\begin{cases} \bf{Slope=3} \\ \bf{Y-int. -1} \end{cases}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1 \theta l}}[/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.