Problem

What is the equation of the line that passes through the point (−4,−3) and has a slope of −34 ?

Answer

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Answer

Theequationofthelineisy=−34x−6.

Steps

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 (x1,y1) 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=−34∗(−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 ：Theequationofthelineisy=−34x−6.

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