The line has a positive slope. Let's look at all the slopes:
1) -3
2) -3
3) 3
4)3
Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.
The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.
1) y = -3/2x - 5/2
2) y = -3/2x + 5/2
We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.
The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.
The change in x between the two is 3 and the change in y is -9.
Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
Here are the true statements:
The 6 in the third term is a coefficient. It is paired with a variable so it is a coefficient.
The y in the third term is a factor because it is being multiplied by (6x + 7).
The 9 is a constant because it is just a number in the second term.
Answer:
The value of angle BAC = 75°
Step-by-step explanation:
=> Angle BAC + 105° = 180°
=> Angle BAC = 180° - 105°
=> Angle BAC = 75°
Answer:
3/10
Step-by-step explanation:
1/5 of <u>total</u> income - spent on car
<u>remainder</u><u> </u> income = 4/5
3/8 of <u>remainder</u><u> </u>= 3/8 ×4/5 = 3/10(of total income spent on rent)
the word "<u>of</u>" means you can find it by multiplication
e.g. 2 of 1/2 means 2 × 1/2 which is 1
