Math 6a: Homework 11
Homework #11 is due January 8.
Equations and Graph Work
To draw a graph of an equation, chose a set of points x and find the corresponding y values.
Draw the points on a graph.
Equation of a line
The line equation is usually denoted
𝑦 = 𝑎𝑥 + 𝑏
Where b is the intercept (value of y when x = 0)
Where a is the ‘slope’ (for a straight line)
𝑠𝑙𝑜𝑝𝑒 =
𝑟𝑖𝑠𝑒 (𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦)
𝑟𝑢𝑛 (𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥)
(The changes in x and y are evaluated from the same pair of points.)
Homework
1. Find the equation of the line which passes through point (1,2) and has a slope -2. (Hint: you
only need to find the intercept and write y = ax+b)
2. Find the equation of the line through points (-1, 2) and (2,1).
3. Find the intersection point of a line y = x–3 and a line y = –2x+6. Sketch or draw the graphs
for these lines. (Hint: construct a system of equations and use substitution)
4. Optional:
https://kangaroo.math.ca/samples/2014/2014gr0506e.pdf
Please, do not look at the answer key until you solve the problems!