Math  /  Algebra

QuestionSlope-Intercept Form Pre-Test Active
1 2 3 4 5 6 7.
8 9 10 Which linear equation has a slope of 3 and a yy-intercept of -2 ? y=3x+2y=3 x+2 y=3x2y=3 x-2 y=2x+3y=-2 x+3 y=2x3y=-2 x-3

Studdy Solution

STEP 1

What is this asking? Which equation of a line has a slope of 33 and crosses the y-axis at 2-2? Watch out! Don't mix up the slope and the y-intercept!

STEP 2

1. Recall slope-intercept form
2. Plug in the given values

STEP 3

Alright students, let's remember the **slope-intercept form** of a linear equation!
It's y=mx+by = mx + b, where mm is the **slope** and bb is the **y-intercept**.
Remember, the slope tells us how steep the line is, and the y-intercept tells us where the line crosses the y-axis.
Super important stuff!

STEP 4

We're given that the **slope** is 33, so m=3m = 3.
Let's **plug** that into our equation: y=3x+by = 3x + b.
Almost there!

STEP 5

We're also given that the **y-intercept** is 2-2, so b=2b = -2.
Let's **plug** that in too: y=3x+(2)y = 3x + (-2).

STEP 6

Now, we can **simplify** that a bit: y=3x2y = 3x - 2.
Boom!

STEP 7

The equation that has a slope of 33 and a y-intercept of 2-2 is y=3x2y = 3x - 2.

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