Final answer:
To find the equation of the line which has a slope of -3 and passes through the point (-3,4), you start by using the equation y = mx + b and substituting the given values. This leads to the equation of the line as y = -3x - 5.
Step-by-step explanation:
You're asked to find the equation of a line that has a given slope and passes through a certain point. The main equation you use for this is y = mx + b, where m is the slope and b is the y-intercept.
To find this, we start by substituting the given slope (-3) for m, and the provided coordinates (-3,4) for x and y, respectively. This gives us: 4 = -3 (-3) + b. Simplifying this yields 4 = 9 + b and then solving for b gives b = -5.
So, the equation of the line with a slope of -3 that passes through the point (-3,4) would be y = -3x - 5.
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