Topic: Pre calculus homework
May 20, 2019 / By Gyneth Question:
A. Goes through the points (4,8) and (8,17)
B. Is parallel to the result in part (a) but goes through the point (-12,20)
Please help, I started school today and she gave us homework for precalculus right away, but didn't review so I forgot what algebra 2 was like over summer
Divina | 4 days ago
Use the two-point form of the equation of a line: y - y1 = ((y2-y1)/(x2-x1)) * (x - x1).
Here, y1 = 8; y2 = 17; x1 = 4; x2 = 8. Substitute these:
y - 8 = ((17-8)/(8-4)) * (x - 4), or
y - 8 = (9/4)(x - 4), or
y - 8 = (9/4)x - 9, or
y = (9/4)x - 1. The slope m is seen to be 9/4.
Parallel lines have equal slopes, so the second line has slope 9/4 also.
Now use the point-slope form of the equation of a line: y - y1 = m(x - x1).
Here, y1 = 20; m = 9/4; x1 = -12. Substitute:
y - 20 = (9/4)(x - (-12)), or
y - 20 = (9/4)(x + 12), or
y - 20 = (9/4)x + 27, or
y = (9/4)x + 47.
Equation of the Line - y = mx + b
m = Slope = Rise/ run
B = Y intercept
Point- Slope Equation of a line : y - y1 = m(x - x1)