First you want to write 7x as a sum or difference: 15x-8x
Now, the expression would look like this: 10x^2+15x-8x-12
Next, factor out the 5x and -4 from the expression: 5x(2x+3)-4(2x+3)
Now, factor out the 2x+3 from the expression and you have your answer:
(2x+3)(5x-4)
Answer: 
Step-by-step explanation:
The equation of the line is Slope-intercept form is:
Where "m" is the slope and "b" the y-intercept.
The slopes of perpendicular lines are negative reciprocal.
Then, if the slope of the first line is -3, the slope of the other line must be:
Substitute the point (3,4) into the equation and solve for b:
Then the equation of this line is:
Answer: their product is always one
Step-by-step explanation:
Answer:
y = -2x + 7.
Step-by-step explanation:
The slope is (5-7)/1-0 = -2 ,
Checking with other values: slope = (- 3 - 7)/ (5-0) = -10/6 = -2.
So the function is -2x + c where c is some constant.
Plugging in the point (0, 7):
7 = -2(0) + c
c = 7.
So the answer is y = -2x + 7.
