Point-slope form looks like this: y - k = m(x - h) where m is the slope, k is the y-value and h is the x-value. For (-3, -8), -3 would replace h and -8 would replace k.
Slope-intercept form looks like this: y = mx + b where m is the slope and b is the y-value.
To solve the problem we must plug in the given coordinate and slope to the point-slope formula then change the point-slope form into slope-intercept form. But first we need to know what the slope is.
If a line is perpendicular to another line, their slopes are negative reciprocals of each other. So with the line y = 3/2x + 3, the slope for another line that is perpendicular has to be -2/3 because we switched the numerator and denominator and made it from positive to negative.
Now that we know the slope and the given coordinate, we can start solving.
Plug the givens into the point-slope formula y - k = m(x - h).
y - (-8) = -2/3(x - (-3))
y + 8 = (-2/3*x) - (-2/3*-3)
y + 8 = -2/3x + 2 Now we can convert the equation to slope-intercept form.
y + 8 - 8 = -2/3x + 2 - 8 Remember that what we do on one side we must do one the other, so we subtract 8 on the left <em>and </em>right to get y by itself.
y = -2/3x - 6 This equation is now in slope-intercept form y = mx + b, so this is the final result.
I hope this explanation made sense. If there is anything that I made look confusing, feel free to tell me and I'll try my best to explain!
Answer:
1. No 2. Yes 4: No The one above 4: Yes
Step-by-step explanation:
1. Although the line passes through the origin, it is curved, meaning that it cannot have a proportional relationship.
2. The line passes through the origin, and it is a straight line.
4. The line is straight, but it does not pass through the origin, or (0,0).
The one above 4: Straight line through the origin
Thanks, 5 stars, and brainliest! Please?
Multiply each side of the equation by 4/3 .
Answer:
8
Step-by-step explanation:
Answer:
1. 8.3%
Step-by-step explanation:
Relative error = absolute error/expected measurement
The expected measurement is given as 6 ft.
Now, the absolute error is usually equal to half of a unit of the measure.
This means the absolute error in this case is ½ × 1 = 0.5 ft
Thus, the exact measurement will be;
6 ± 0.5
Thus;
Relative error = 0.5/6
Relative error = 0.083
Expressing it in percentage gives 8.3%
