Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Answer:
Point-slope form:
y - y1 = m(x - x1)
where (x1, y1) = (8, -9) and m = -10
y - (-9) = -10(x - 8)
y + 9 = -10x + 80
Point-slope form: y + 9 = -10x + 80
Slope-intercept form (y = mx + b):
y = -10x + b
Substitute (x, y) = (8, -9) to find b:
-9 = -10(8) + b
-9 = -80 + b
b = 71
Slope-intercept form: y = -10x + 71
Answer:
Point-Slope Form: y + 9 = -10(x - 8)
Slope-Intercept Form: y = -10x + 71
Step-by-step explanation:
To find the equation of a line with a given slope and passing through a specific point, we can use the point-slope form and then convert it to the slope-intercept form.
Given:
Slope m = -10
Point [tex](x_1, y_1)[/tex] = (8, -9)
Point-Slope Form
The point-slope form of a line is given by:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute the given point and slope into the equation:
y - (-9) = -10(x - 8)
y + 9 = -10(x - 8)
Slope-Intercept Form
To convert the equation to the slope-intercept form ( y = mx + b ), solve for y :
y + 9 = -10(x - 8)
y + 9 = -10x + 80
y = -10x + 80 - 9
y = -10x + 71
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.