Question

module 11 (linear equations) assignment
score: 11/20 answered: 11/20
question 12
find the slope, x-intercept, and y-intercept for the line -10x + 4y + 4 = 0.
note: give answers as whole numbers or decimals
the slope is
the y-intercept is
question help: video
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Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept. We start with the equation $- 10x+4y + 4=0$.
First, we isolate the $y$ terms: $4y=10x - 4$.
Then, we divide each term by 4: $y=\frac{10}{4}x-\frac{4}{4}$.
Simplify the fractions: $y = 2.5x-1$.

Step2: Identify the slope

From the slope - intercept form $y = mx + b$, the coefficient of $x$ is the slope. In $y = 2.5x-1$, the slope $m = 2.5$.

Step3: Identify the $y$-intercept

From the slope - intercept form $y=mx + b$, the constant term $b$ is the $y$-intercept. In $y = 2.5x-1$, the $y$-intercept $b=- 1$.

Answer:

The slope is $2.5$
The $y$-intercept is $- 1$