a line has a slope of 1 and passes through the point (-3, 2). write its equation in slope - intercept form…

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.

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.

Answer

Explanation:

Step1: Recall 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. Given $m = 1$, the equation becomes $y=1x + b$ or $y=x + b$.

Step2: Substitute the point into the equation

Substitute the point $(-3,2)$ into $y=x + b$. We get $2=-3 + b$.

Step3: Solve for $b$

Add 3 to both sides of the equation $2=-3 + b$. So, $b=2 + 3=5$.

Step4: Write the final equation

Substitute $b = 5$ back into $y=x + b$. The equation of the line is $y=x + 5$.

Answer:

$y=x + 5$