University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

238

Pages:

2
Author:

Emily Clayton

Quiz Review: Writing Equations of Lines Block Directions: Write the equation of the line for each scenario in slope-intercept form and standard form. P 1 m 6 5 b=2 y = - 6/5 * x + 2 6/5 * x E/5 * x 6/5 * x + y ^ 0.5 = 2 ^ 0.5 6x + 5y = 10 m= - (w / 2)/2 b = 2 2. m = 8/7 point (7,-2) m = root(7, 8) b = - 10 y - i*y_{1} = m(x - x_{1}) -2-8+b 8-8 -| c = b y = mx + b - 2 = 2/7 * (7) + b y = s/7 * x - 10 y + 2 = 8/7 * (x - 7) y + 2 = 8/7 * (- 8) - 2 y = 8/7 * x - 10 y = 8/7 * x - 10 - 3/7 * x ^ 7 + y ^ 7 = - 10 ^ - 7 Slope -intercept form: y=^ - 6/5 * x + 2 m: Slope 8x - 7y = 70 y = 8/7 * x - 10 Standard form: (6x + 5y)/0 = 10 Standard form: 8x - 7y = 70 3. Two Points: (-6,-4) and (-2, -2) m = 5/2 b = - 1 4. Two Points: (1,-1) and (4,5) m = (5 + 1)/(4 - 1) = (5 + 1)/3 = 6/3 = 2 pick etther pant! (4,5) m = 2 b = - 3 m = (- 2 + 4)/(- 2 + 6) = (- 2 + 4)/(- 2 + 6) = 2/4 m = 1/2 pickkither point m = 1/2 (-2,-2) y = mx + b - 2 = 1/2 * (- 2) + b - 2 = - 1 + b + 1 + 1 - 1 = 1/(L ^ 2) y = 1/2 * x - 1 y - y_{1} = m(x - x_{1}) y + 2 = 1/2 * (x + 2) y + 2 = 1/2 * x + 1 y = 1/2 * x - 1 ^ 2 m = 1/2 * (- 6 - 4) y + 4 = 1/2 * (x + 6) y+4]= 1/2 * x + 3 y = 1/2 * x + 3 y = 1/2 * x - 1 y = mx + b 5 = 2(4) + b 5 = 8 + b -8-8 - 3 = b y = 2x - 3 y - y_{1} = m * 1(x - x_{1}) y - 5 = 2(x - 4) y - 5 = 2x - 8 + 5 y = 2x - 3 (- 2x)/- 1 + y/- 1 = 3/- 1 2x - y = 3 m = 2(1, - 1) f - y_{1} = m(x - xi) f + 1 = z(x - 4) y + 1 = 2x - 8a y = 2x - 43 - 1/2 * x +y^ prime2 =-1^ -2 x - 2y = 2 Slope-intercept form: y = 1/2 * x - 1 Standard form: x - 2y = 2 Slope -intercept form: y = 2x - 3 Standard form: (2x - y = 3)/y Page 11 5. m = - 2/3 0,1) y=^ - 2/3 x+1 2/3 x^ *3 +y^ *3 =1^ *3 2x + 3y = 3 m = (- 2/3)/3 b = 1 6. m = emptyset point (-5,-8) X=a number m = phi b=none x = - 5 Slope -intercept form: y = - 2/3 * x + 1 Standard form: (2x + 3y = 3)/y 7. Perpendicular to y = - 3x + 10 thru (6,1) m = - 3 perp m = 1/3 (6,1) y = mx + b l = 1/5 * (6) + L 1 = 2 + b -2-2 - 1 = b y = 1/5 * x - 1 y - y_{1} = mn(x - x_{1}) y - 1 = 1/3 * (x - 6) y +1 ^ - 1 = 1/3 * x - 2 y=x-1 - 1/3 * x + y ^ 3 = - 1 ^ - 3 x - 3y = 3 m = underline 16 3 b = - 1 Slope-intercept form: x = - 5 Standard form: not possible 1 8. Parallel toy = x-4 thru (4,5) m =^ prime prime 2 // rn = 11/2 (4,5) m = 1/2 b = 32 y = mx + b 5 = 1/2 * (4) + b 5-2+b 3 = b y = 1/2 * x + 3 | y - y_{i} = m(x - x_{i}) y - 5 = 1/2 * (x - 4) aligned y^ -5=" 2 x - 2 \\ +5+5 aligned y=H Lx + 3 - 1/2 * x ^ 2 +y^ prime2 =3 x - 2y = - 6 Slope -intercept form: y = 1/3 * x - 1 Standard form: X - 3y = 3 Slope -intercept form: n: y = 11/2 * x + 3 Standard form: x - 2y = - 6 A