Questions: Write an equation of the line passing through (-3,1) and (4,2). Give the answer in standard form.

Transcript text: Write an equation of the line passing through $(-3,1)$ and $(4,2)$. Give the answer in standard form.

Solution

Solution Steps

Step 1: Calculate the slope (m)

The slope of the line, $m$, is calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{2 - 1}{4 + 3} = 0.14$.

Step 2: Find the y-intercept (b)

Using the point-slope form $y - y_1 = m(x - x_1)$ and substituting $m = 0.14$ and the point $(-3, 1)$, we solve for $b$ to get $b = 1 - (0.14)(-3) = 1.43$.

Step 3: Convert to standard form (Ax + By = C)

To convert the slope-intercept form $y = 0.14x + 1.43$ to standard form, we rearrange it to get $0.14x - y = -1.43$.

Final Answer:

The equation of the line in standard form is $0.14x - y = -1.43$.

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