2. Heavenly Father,
Thank you for another life to enjoy,
another day to learn, and a new set
of things we will experience.
As we start this new day for new
learning, we ask for Your guidance.
As we go through our lessons today,
may let us be instruments to do good
things.
In Jesus’ name. Amen.
13. What is the formula to solve for the slope
given two points?
14. Given a linear equation, we can change it
to slope-intercept form, 𝑦 = 𝑚𝑥 + 𝑏. The slope
m is the numerical coefficient of 𝑥 and 𝑏, and
in which the constant term is the y-intercept.
15. What is y-intercept?
Y-intercept is a point on the y-
axis, through which the slope of the
line passes. It is the y-coordinate of a
point where a straight line or curve
intersects the y-axis.
16.
17.
18.
19. Given the linear equation 5𝑥 + 𝑦 = 6,
determine the slope and y-intercept of the
equation.
Change the equation 5𝑥 + 𝑦 = 6 to form
𝑦 = 𝑚𝑥 + 𝑏.
𝒚 = −𝟓𝒙 + 𝟔
Slope is -5 and y-intercept is 6.
20. Given the linear equation 3𝑥 + 𝑦 = 7,
determine the slope and y-intercept of the
equation.
Change the equation 3𝑥 + 𝑦 = 7 to form
𝑦 = 𝑚𝑥 + 𝑏.
𝒚 = −𝟑𝒙 + 𝟕
Slope is -3 and y-intercept is 7.
21. Given the linear equation −6𝑥 + 𝑦 = −11,
determine the slope and y-intercept of the
equation.
Change the equation −6𝑥 + 𝑦 = −11 to
form 𝑦 = 𝑚𝑥 + 𝑏.
𝒚 = 𝟔𝒙 − 𝟏𝟏
Slope is 6 and y-intercept is -11.
22. Given the linear equation 4𝑥 + 2𝑦 = 6,
determine the slope and y-intercept of the
equation.
Change the equation 4𝑥 + 2𝑦 = 6 to form
𝑦 = 𝑚𝑥 + 𝑏.
𝒚 = −𝟐𝒙 + 𝟑
Slope is -2 and y-intercept is 3.
23. Given the linear equation 5𝑥 + 5𝑦 = −20,
determine the slope, y-intercept and
direction of the line.
𝒚 = −𝒙 − 𝟒
Slope is -1 and y-intercept is -4.
The slope is negative so the line rises to
the left and passing through the y-axis at
(0, -4).
24. For linear equation 3𝑥 + 6𝑦 = 11, express it in
the form 𝑦 = 𝑚𝑥 + 𝑏. Determine the slope, y-
intercept and the direction of the line.
𝒚 =
−𝟏
𝟐
𝒙 +
𝟏𝟏
𝟔
The slope is
−1
2
and y-intercept is -
11
6
. The slope
is negative, the line rises to the left and passes
through the y-axis at (0,
11
6
).
25. For linear equation 3𝑦 = 4𝑥 + 2, express it in the
form 𝑦 = 𝑚𝑥 + 𝑏. Determine the slope, y-
intercept and the direction of the line.
𝒚 =
𝟒
𝟑
𝒙 +
𝟐
𝟑
The slope is
4
3
and y-intercept is
2
3
. The slope is
positive, the line rises to the right and passes
through the y-axis at (0,
2
3
).
