Find the equation of the line that goes through the given point and has the given slope. Write the answer in slope- intercept form.
(-1,-5), -8
To find the equation of a line given a point and a slope, you can use the slope-intercept form of a linear equation:
y = mx + b
where m is the slope and b is the y-intercept.
In this case, the given slope is -8, and the given point is (-1, -5).
Step 1: Start with the equation y = mx + b
Step 2: Substitute the given slope, m = -8, into the equation:
y = -8x + b
Step 3: Substitute the coordinates of the given point (-1, -5) into the equation to find the value of b. Plug in x = -1 and y = -5:
-5 = -8(-1) + b
-5 = 8 + b
Step 4: Solve for b:
-5 - 8 = b
-13 = b
Step 5: Substitute the value of b = -13 back into the equation:
y = -8x - 13
So, the equation of the line that goes through the given point (-1, -5) and has a slope of -8 is y = -8x - 13 in slope-intercept form.