Problem

What is the equation of the line that passes through the point $(-4,-3)$ and has a slope of $-\frac{3}{4}$ ?

Solution

Step 1 :The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. We know the slope \(m\) and a point \((x_1, y_1)\) on the line. We can substitute these values into the equation to solve for \(b\).

Step 2 :Substitute the given values into the equation: \(-3 = -\frac{3}{4}*(-4) + b\).

Step 3 :Solve the equation to find the y-intercept \(b\): \(b = -6.0\).

Step 4 :Now that we have the y-intercept, we can write the equation of the line in slope-intercept form.

Step 5 :\(\boxed{The equation of the line is y = -\frac{3}{4}x - 6}\).

From Solvely APP
Source: https://solvelyapp.com/problems/8463/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download