Parallel lines mean that the slopes are the same, while perpendicular means that the slopes are negative reciprocals from each other.
With this information,
1. The slopes are the same, so PARALLEL.
2. The slopes are negative reciprocals, so PERPENDICULAR.
3. Same as the second.
Answer:
y + 5 = (3/4)x
Step-by-step explanation:
You want to rewrite Y=3/4X-5 in POINT SLOPE FORM?
Point-slope form looks like y-k = m(x-h), where (h,k) is a point on the line and m is the slope of the line.
Starting with Y=3/4X- 5, identify the slope and one point on the line. The slope is (3/4) (please surround fractions like this inside parentheses) and the y-intercept is (0, -5). We will let h=0 and k= -5.
Thus, we have a point on the line and we have the slope of the line.
We can now write the point-slope form:
y - (-5) = (3/4)(x - 0), or y + 5 = (3/4)x. This is the desired equation in point-slope form.
Answer:
2.2 results in a true equation, 2.2 is a solution to the equation.
Step-by-step explanation:
Step 1. Substitute the number for the variable in the equation.
Step 2. Simplify the expressions on both sides of the equation.
Step 3. Determine whether the resulting equation is true.
If so, the number is a solution.
If not, the number is not a solution.
Answer:
C
Step-by-step explanation:
The formula to find the slope of a line is:
(y2 - y1) / (x2 - x1)
We can substitute the points (-4, 7) and (5, -8) to find the slope:
(-8 - 7) / (5 - (-4))
(-15) / (5 + 4)
(-15) / 9
This can be simplified to
- 5 / 3
which is option C
