Find an equation of the line that passes through the given point and has the given slope Express ur answer in slope-intercept form.
(8,0), m=-3
To find the equation of a line given a point and a slope, you can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Write down the equation using the given point.
Since the line passes through the point (8, 0), we can substitute these values into the equation:
y = mx + b
0 = (-3)(8) + b
Step 2: Solve for the y-intercept (b).
0 = -24 + b
b = 24
Step 3: Write the final equation.
Now that we know the value of b, we can write the final equation using the slope-intercept form:
y = -3x + 24
Therefore, the equation of the line that passes through the point (8, 0) and has a slope of -3 is y = -3x + 24.