Questions: Write the equation of the line which has a slope of 3 and passes through (-4,-3). Write the answer in slope-intercept form. The equation of the line in slope intercept form is (Simplify your answer.)

Write the equation of the line which has a slope of 3 and passes through (-4,-3). Write the answer in slope-intercept form.

The equation of the line in slope intercept form is
(Simplify your answer.)

Transcript text: Points: 0 of 1 Write the equation of the line which has a slope of 3 and passes through $(-4,-3)$. Write the answer in slope-intercept form. The equation of the line in slope intercept form is $\square$ (Simplify your answer.)

Solution

Solution Steps

Step 1: Identify the Given Information

We are given the slope $ m = 3 $ and a point on the line $(-4, -3)$.

Step 2: Use the Point-Slope Form

The point-slope form of a line is given by: \[ y - y_1 = m(x - x_1) \] Substitute $ m = 3 $, $ x_1 = -4 $, and $ y_1 = -3 $ into the equation: \[ y - (-3) = 3(x - (-4)) \] Simplify the equation: \[ y + 3 = 3(x + 4) \]

Step 3: Simplify to Slope-Intercept Form

Distribute the slope on the right side: \[ y + 3 = 3x + 12 \] Subtract 3 from both sides to solve for $ y $: \[ y = 3x + 9 \]