Partial preview of the text
Download Worksheet for PISAY math and more Exercises Mathematics in PDF only on Docsity!
A. Complete the table below. STANDARD FORM GENERAL FORM (1x — y) = 5x—3 = = =—Sy=-2r+3 Oy tixax 0.01y — 0.001x + 0.0001 = 0 10. 0.25y = 0.5x + 0.75 B. Determine whether the ordered pair is a solution of the equation. Se Pepe —6x + 5y = —6; (1,0) x+2y+6=1;(2,3) 5x =1—y;(-1,6) A. Determine the slope of each line. L B. Determine whether the three points are collinear 1. AC-1,-5), B(1,-2), (5,4) 2. A(—2,—-6), B (0,—2), C(6,10) 3. A(-3,2), 845), c(,9) Write in slope-intercept form the equation of the line graphed. 5. » 6. \ [I i | : \ - : Find the equation (in slope-intercept form) of the line that passes through the points. 7. (6,1) and (4,6) 8. (2,—3) and (5,2) Rewrite each equation in slope-intercept form (y = mx + b). 9. 3x+4y=4 10. 5x —2y = 10 Rewrite each equation in standard form (Ax + By = C). 2.03 1 lL y=ox-3> I2ys—pxt2 Graph the equation using its slope and y-intercept. 13, y=—Sx42 4, y=ix-3 Write the point-slope form of the line through the given point with slope m. L. (62); m=3 2. (3-5); m=-3 3. 4-1); m=$ 7 Write the equation in point-slope form of the line that passes through the given points. Then write the equation in slope-intercept form. 4. (L-1),(-1,-4) 5. (3, 6),(-2,—4) 6. (—3,—3), (6-6) 1. Determine the x — and the y — intercepts of the line 5x — 6y + 15 = 0. Then sketch its graph. 2. Determine the x — and the y — intercepts of the line -21y + 7x = 3. Then sketch its graph. 3. Write the equation of the line, in standard form, with the given conditions: a. X—1intercept of 2 and y — intercept of -1. b. x-intercept of -4 and y — intercept of 3. ©. The line intersects the x ~and the y- axes at (—=, 0) and (0, ~ =), respectively. d. The line passes through (1,2) and intersects the x — and y — axes at (c, 0) and (0, c), respectively. 4. Use the intercept form to determine the equation of the line passing through points 3 (2.0 ) and (-4, -2). 5. Use the intercept form to determine the equation of the line passing through points (0, 2) and (—4,—2). 6. The graph of a line is shown below. Determine its x — and the y — intercepts and then write the equation of the line in standard form. (1,5) (2,0)