Questions: A line has slope 3/4 and passes through the point (8,-3). By substituting into the equation y=mx+b, find the value of b for this line.

Transcript text: 42. A line has slope $\frac{3}{4}$ and passes through the point $(8,-3)$. 42a By substituting into the equation $y=m x+b$, find the value of $b$ for this line. Enter your next step here

Solution

Solution Steps

Step 1: Identify the given information

We are given the slope $m = \frac{3}{4}$ and a point on the line $(8, -3)$ .

Step 2: Substitute the given information into the slope-intercept form

The slope-intercept form of a line is given by: $y = mx + b$ Substitute $m = \frac{3}{4}$ , $x = 8$ , and $y = -3$ into the equation: $-3 = \frac{3}{4}(8) + b$

Step 3: Solve for

b

First, calculate $\frac{3}{4} \times 8$ : $\frac{3}{4} \times 8 = 6$ Now substitute back into the equation: $-3 = 6 + b$ Subtract 6 from both sides to solve for $b$ : $b = -3 - 6$ $b = -9$

Final Answer

$\boxed{b = -9}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!