Find the Equation Using Slope-Intercept Form (-5,-3) , m=-2

Problem

(−5,−3),m=−2

Solution

1. Identify the given information, which includes a point ((x_1),(y_1))=(−5,−3) and the slope m=−2

2. Recall the slope-intercept form equation, which is y=m*x+b where b is the y-intercept.

3. Substitute the known values of x y and m into the equation to solve for b

−3=−2*(−5)+b

4. Simplify the multiplication on the right side of the equation.

−3=10+b

5. Solve for b by subtracting 10 from both sides.

−13=b

6. Write the final equation by substituting the slope m=−2 and the y-intercept b=−13 back into the slope-intercept form.

Final Answer

y=−2*x−13

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