Rewrite the following equation in slope-intercept form. 17x − 7y = –1 Write your answer using integers, proper fractions, and improper fractions in simplest form. _____

Isolate y: Isolate y in the equation to convert it to slope-intercept form, which is y = mx + b. Calculation: Start by moving 17x to the right side of the equation: -7y = -17x - 1 Next, divide every term by -7 to solve for y: y = (17/7)x + 1/7Check equation form: Check if the equation is now in the correct form and if the fractions are simplified. Calculation: The equation y = (17/7)x + 1/7 is in slope-intercept form, where m (slope) = 17/7 and b (y-intercept) = 1/7. Both fractions are already in simplest form.

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Rewrite the following equation in slope-intercept form. $\newline$ $17x - 7y = -1$ $\newline$ Write your answer using integers, proper fractions, and improper fractions in simplest form. $\newline$ $\_\_$

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Math Problems

Grade 8

Convert a linear equation in standard form to slope-intercept form

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Q. Rewrite the following equation in slope-intercept form.

\newline

17x - 7y = -1

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

\newline

\_\_

Isolate y: Isolate $y$ in the equation to convert it to slope-intercept form, which is $y = mx + b$ . $\newline$ Calculation: Start by moving $17x$ to the right side of the equation: $\newline$ $-7y = -17x - 1$ $\newline$ Next, divide every term by $-7$ to solve for $y$ : $\newline$ $y = \left(\frac{17}{7}\right)x + \frac{1}{7}$
Check equation form: Check if the equation is now in the correct form and if the fractions are simplified. $\newline$ Calculation: The equation $y = \frac{17}{7}x + \frac{1}{7}$ is in slope-intercept form, where $m$ (slope) = $\frac{17}{7}$ and $b$ (y-intercept) = $\frac{1}{7}$ . Both fractions are already in simplest form.