Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
The slope-intercept form of the line has the following form below:
[tex]y=mx+b[/tex]In the question, the data given are:
slope = -3
point = (-4, 10)
y - coordinate = 10
x - coordinate = -4
To be able to solve the equation of the line given slope and a point, we can use the following formula below:
[tex]y-y_1=m(x-x_1)[/tex]where:
m = slope
y₁ = y - coordinate of the point that goes through the line
x₁ = x - coordinate of the point that goes through the line
Let's substitute the given data with the formula we have.
[tex]\begin{gathered} y-10=-3(x--4) \\ y-10=-3(x+4) \\ \text{Distribute -3 to the values inside the parenthesis.} \\ y-10=-3x-12 \\ \text{Add 10 on both sides of the equation.} \\ y-10+10=-3x-12+10 \\ y=-3x-2 \end{gathered}[/tex]Therefore, the equation of this line in slope-intercept form is:
y = -3x - 2.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
