we know the x-intercept of the line is 1, recall that an x-intercept is when the graph intercepts or touches the x-axis, and when that happens, y = 0, so the point is really x = 1, y = 0, namely (1,0). We also know another point on the line, is (-2, 9).
![\bf \stackrel{x-intercept}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-0}{-2-1}\implies \cfrac{9}{-3}\implies -3 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=-3(x-1) \\\\\\ ~\hspace{10em}y=-3x+3](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cstackrel%7Bx-intercept%7D%7B%28%5Cstackrel%7Bx_1%7D%7B1%7D~%2C~%5Cstackrel%7By_1%7D%7B0%7D%29%7D%5Cqquad%20%20%28%5Cstackrel%7Bx_2%7D%7B-2%7D~%2C~%5Cstackrel%7By_2%7D%7B9%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20%20m%5Cimplies%20%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B9-0%7D%7B-2-1%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B-3%7D%5Cimplies%20-3%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-0%3D-3%28x-1%29%20%5C%5C%5C%5C%5C%5C%20~%5Chspace%7B10em%7Dy%3D-3x%2B3%20)
Answer:
17.7
Step-by-step explanation:
This figure is a pentagon - a shape with 5 sides. In a pentagon, the figure's angles add to 540.
100 + 7x-4 + 3x + 23 + 9x - 6 + 90 = 540
190 +19x + 13 = 540
203 + 19x = 540
19x = 337
x = 17.7
Answer:
(1, 5) and (5, 13)
Step-by-step explanation:
Answer:
T = 0.05x + 35
D = 0.03x + 55
Step-by-step explanation:
i) On the last weekend in November both Terri and Donna earned from sales the amount of x.
ii) Terri pays the amount T = 0.05x + 35
iii) Donna pays the amount D = 0.03x + 55