Question

Step 1: Write the slope-intercept form for the equation of a line.

y = mx + b
Step 2: Fill the value for m into the equation.
y=
x+b
Step 3: Since the value of the y-intercept (b) is not known, use the coordinates
(r= 9,y=6) of the point to calculate the y-intercept.
6=3(9) + b
.
Step 4: Solve for the y-intercept (b). Perform the multiplication on the right side of the
equation to clear the parenthesis.
+b
Next, subtract 27 from both sides of the equation and simplify to solve for b.
b
Step 5: Rewrite original equation in Step 1. Fill in the value for binto the slope-intercept
form of the equation and simplify.
y = 3x + b
y=3
The equation in slope-intercept form is y = 3x - 21.
x-21
F
F
W
Fc
12
16
Gra
Dif

Answer 1

The slope-intercept form of a line is y = mx + b. To calculate the y-intercept, substitute the coordinates of a point on the line into the equation, and solve for b. In this case, the equation is y = 3x - 21.

The slope-intercept form of a line is written as y = mx + b. In this form, m represents the slope of the line, and b represents the y-intercept.

To calculate the y-intercept, you can use a point on the line and substitute the coordinates into the equation. Let's take the point (9,6) and substitute it into the equation:

6 = 3(9) + b

To solve for b, multiply 3 by 9, which equals 27. Then subtract 27 from both sides of the equation:

6 - 27 = b

Simplifying, we find that b = -21. Finally, we can rewrite the equation using the values we found:

y = 3x - 21