1. Write an equation in point-slope form for the line through the given point with the given slope.
(-10,-6);m=-5/8
A. y-6=-5/8(x-10)
B. y-6=-5/8(x+10)
C. y+6=-5/8(x+10)
D. y+10=-5/8(x+6)
2. The table below shows the height of a plant as it grows. Which equation in point-slope form gives the plant height at any time?
Time//Height
2 16
4 32
6 48
8 64
A. y-16=8(x-2)
B. y-16=8x-2
C. y+16=8(x+2)
D. The relationship is non linear.
3. Write y=-0.4+0.3 in standard form using integers.
A. 4x+10y=3
B. 4x+10y=-3
C. 4x-10y=3
D. -4x+10y=3
I do not see your answers.
he just wants answers, he just doenst understand properly i'm guessing
To solve these questions, we need to understand how to write an equation in point-slope form and standard form.
1. The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Given the point (-10, -6) and slope m = -5/8, we can substitute these values into the point-slope form equation:
y - (-6) = (-5/8)(x - (-10))
Simplifying,
y + 6 = (-5/8)(x + 10)
Therefore, the equation in point-slope form for the line through the given point with the given slope is A. y-6=-5/8(x-10).
2. To find the equation in point-slope form for the plant height at any time, let's examine the relationship between time and height. Looking at the table, we can see that the height increases by 16 units every 2 units of time. This indicates a constant slope of 8.
Using the point-slope form y - y1 = m(x - x1), we can select any point in the table, for example, (2, 16):
y - 16 = 8(x - 2)
Simplifying,
y - 16 = 8x - 16
Therefore, the equation in point-slope form for the plant height at any time is B. y-16=8x-2.
3. To write the equation y = -0.4x + 0.3 in standard form using integers, we need to eliminate the decimal coefficients.
Multiplying the entire equation by 10 to remove the decimals, we get:
10y = -4x + 3
To convert this equation into standard form Ax + By = C, we rearrange it by moving all terms to the left-hand side:
4x + 10y = 3
Therefore, the equation y = -0.4x + 0.3 in standard form using integers is C. 4x + 10y = 3.