Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Linear Functions |
Grade: 1400-a Lesson: S1-L3 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
A linear function f(x) has a slope of 4 and passes through the point (4, 8). Find the equation of the linear function. |
|
2 |
Step |
Given values are |
f(x) = 4 and point (4,8) |
3 |
Formula: |
To find the equation of the linear function, we can use the point-slope form of a linear equation |
\$"y" - "y"_1 = "m"("x" - "x"_1)\$ |
4 |
Step |
where \$("x"_1, "y"_1)\$ is the given point on the line, and m is the slope |
\$"x"_1 = 4\$, \$"y"_1 = 8\$ and m = 4 |
5 |
Step |
Substitute the value in the formula then we get the equation |
y - 8 = 4(x - 4) |
6 |
Step |
Therefore, the equation of the linear function is f(x) = 4x - 8. |
|
7 |
Choice.A |
This option suggests a y-intercept of -9, which is incorrect; the y-intercept should be -8 |
f(x) = 4x - 9 |
8 |
Choice.B |
This option suggests a positive y-intercept of +8, which is incorrect; the y-intercept should be negative |
f(x) = 4x + 8 |
9 |
Choice.C |
This option also suggests a positive y-intercept of +9, which is incorrect; the y-intercept should be negative |
f(x) = 4x + 9 |
10 |
Choice.D |
This option suggests a correct y-intercept of -8, which matches the solution we derived, making it the correct option |
f(x) = 4x - 8 |
11 |
Answer |
Option |
D |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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