Since we already know a point the line intersects and its slope, we can use the point-slope formula $y-y_1 = m (x-x_1)$ to write an equation, then convert it to slope-intercept form.

Substitute values for $m$ , $x_1$ , and $y_1$ . Since $m$ represents the slope, substitute $\frac{1}{3}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, use the x and y values of (6,5) and substitute them into the equation. Substitute 6 for $x_1$ and 5 for $y_1$ . Then, isolate y to put it into slope-intercept form and find an answer:

$y -5 = \frac{1}{3} (x-6)\\y-5 = \frac{1}{3}x-2\\y = \frac{1}{3} x+3$

7 0

3 years ago

Given the triangle, answer the following questions

Olin [163]

A. X=81
B. Y=99
C. Z=129

A triangle equals 180 degrees so all the numbers inside the triangle must add up to 180. Therefore you do 48+51-180 to give you x. Then subtract the number you got for x from 180 to find y and subtract 51 from 180 to find Z

5 0

4 years ago