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A line has a slope of 1 and passes through the point (-3,2) Write its equation in slope- intercept form. Write your answer using integers, proper fractions and improper fractions in simplest form. square

Pergunta

A line has a slope of 1 and passes through the point (-3,2) Write its equation in slope-
intercept form.
Write your answer using integers, proper fractions and improper fractions in simplest form.
square

A line has a slope of 1 and passes through the point (-3,2) Write its equation in slope- intercept form. Write your answer using integers, proper fractions and improper fractions in simplest form. square

Solução

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ElisaMestre · Tutor por 5 anos

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To find the equation of the line in slope-intercept form, we can use the formula:<br /><br />$y = mx + b$<br /><br />where $m$ is the slope and $b$ is the y-intercept.<br /><br />Given that the slope is 1 and the line passes through the point $(-3,2)$, we can substitute these values into the equation to find the y-intercept.<br /><br />Using the point $(-3,2)$, we have:<br /><br />$2 = 1(-3) + b$<br /><br />Simplifying this equation, we get:<br /><br />$2 = -3 + b$<br /><br />Adding 3 to both sides, we have:<br /><br />$b = 5$<br /><br />Therefore, the equation of the line in slope-intercept form is:<br /><br />$y = x + 5$
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