Math  /  Algebra

Question2 y=32x+16y=32 x+16 16 slope = \qquad - 32

Studdy Solution

STEP 1

What is this asking? We're given an equation of a line and we need to find its slope! Watch out! Don't mix up the slope and the y-intercept.
Remember, slope is how steep the line is!

STEP 2

1. Understand Slope-Intercept Form
2. Identify the Slope

STEP 3

Alright, so we've got this equation y=32x+16y = 32x + 16.
This is in **slope-intercept form**, which is super handy!
Slope-intercept form is written as y=mx+by = mx + b.

STEP 4

In this magical formula, *m* is the **slope** and *b* is the **y-intercept**.
The **y-intercept** is where the line crosses the y-axis.

STEP 5

Let's look back at our equation: y=32x+16y = 32x + 16.
We want to find the slope, which is the *m* in our slope-intercept form.

STEP 6

Comparing our equation y=32x+16y = 32x + 16 to y=mx+by = mx + b, we can see that the number multiplying *x* is **32**.
That's our *m*!

STEP 7

So, our **slope** is **32**!
It tells us that for every 1 unit we move to the right along the x-axis, we move **32** units up along the y-axis.
Pretty steep, right?

STEP 8

The slope of the line y=32x+16y = 32x + 16 is **32**.

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