Answer:
a. When x = -1, the value of y = 3
b. When y = 7, the value of x = 1
c. The y-intercept is (0, 5)
d. The x-intercept is (-2.5, 0)
e. The slope of the line is 2
f. The equation of the line is y = 2x + 5
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- b is the y-intercept (value y at x = 0)
The x-intercept is the value of x at y = 0
From the given graph:
a.
∵ x = -1
→ Look at the graph and find the y-coordinate of the point on
the line whoes x-coordinate = -1
∴ y = 3
∴ When x = -1, the value of y = 3
b.
∵ y = 7
→ Look at the graph and find the x-coordinate of the point on
the line whose y-coordinate = 7
∴ x = 1
∴ When y = 7, the value of x = 1
c.
∵ The y-intercept of the graph is the point of intersection of
the graph and the y-axis
→ Look at the graph and find the y-coordinate of the point on
the line whose x-coordinate = 0
∴ y = 5
∴ The y-intercept is (0, 5)
d.
∵ The x-intercept of the graph is the point of intersection of
the graph and the x-axis
→ Look at the graph and find the x-coordinate of the point on
the line whose y-coordinate = 0
∴ x = -2.5
∴ The x-intercept is (-2.5, 0)
e.
∵ The slope of the line m = Δy/Δx
→ Use the intercepts to find it
∵ The intercepts are (-2.5, 0) and (0, 5)
∴ Δx = 0 - (-2.5) = 2.5
∴ Δy = 5 - 0 = 5
∴ m = 5/2.5 = 2
∴ The slope of the line is 2
f.
∵ The form of the equation of the line is y = m x + b
∵ m = 2
∵ b = 5
∴ y = 2x + 5
∴ The equation of the line is y = 2x + 5
