Answer:
The slope-intercept form is y = [tex]-\frac{3}{4}[/tex] x + 8 ⇒ B
Step-by-step explanation:
The slope-intercept form of the linear equation is:
y = m x + b, where
From the given in the question
∵ The slope of the line is [tex]-\frac{3}{4}[/tex]
∴ m = [tex]-\frac{3}{4}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]-\frac{3}{4}[/tex] x + b
→ To find b substitute x and y by the coordinates of any point on the line
∵ The line passes through the point (8, 2)
∴ x = 8 and y = 2
∵ 2 = [tex]-\frac{3}{4}[/tex] (8) + b
∴ 2 = -6 + b
→ Add 6 to both sides to find b
∴ 2 + 6 = -6 + 6 + b
∴ 8 = b
→ Substitute the value of b in the equation above
∴ y = [tex]-\frac{3}{4}[/tex] x + 8
∴ The slope-intercept form is y = [tex]-\frac{3}{4}[/tex] x + 8
