Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Answer:
Point-slope:
y - 1 = -2(x - 4)
Slope-intercept:
y = -2x + 9
Standard:
2x + y = 9
Step-by-step explanation:
The equation you were given is:
y = -2x + 7
This is slope-intercept form of the equation. When an eq is in this format you can see (no work!) the slope and the y-intercept (hence the name) Anyway, the number infrontof the x is the slope. Parallel lines have the same slope. So your new equation will also have a slope of -2.
We have a point on the new line, but not the y-intercept, so we need another form of the equation. Point-slope equation is something we can use.
y - y = m(x - x)
in this fill-in-the-blank formula, we put the slope in place of the m. And, given any point on the line (x,y) We fill in the SECOND x and the SECOND y. The FIRST x and y just stay variables.
So, we know the slope is -2.
And a point on the line is (4,1).
Fill in:
y - 1 = -2(x - 4)
This is the least- amount-of-work-for-us, equation of the line.
Sometimes the teacher/book/class/program asks for a specific version of the equation.
y - 1 = -2(x - 4)
Distribute the -2.
y - 1 = -2x + 8
Add 1 to both sides.
y = -2x + 9
This is slope-intercept form of the equation.
Or we can change it to Standard form.
y = -2x + 9
Add 2x to both sides.
2x + y = 9
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
