Answer:
a
Step-by-step explanation:
Answer:
y = -5x + 4.
Step-by-step explanation:
y = mx + c is the general form
- where m = the slope of the line and c is the y-value where the graph cuts the y-axis.
The graph passes through the points (0, 4) and (1, -1) so the slope
= (Y2 - y1) / (x2 - x1)
= (-1-4) / (1-0)
= -5 = m.
and c = 4.
First thing to do is find out the coordinates of two points on the graph (I will use the ones that have been marked by the red dots):
Point A: (3, -1)
Point B: (1, 2)
Then we will use the slope formula to work out the slope:
y₂ - y₁ / x₂ - x₁
Substitute in our points:
2 - (-1) / 1 - 3
Then we work out the expression (remember a negative and a negative make a positive!):
3 / -2
Then we check if we can simplify this fraction, which in this case we cannot.
Therefore the slope of that line would be:
3 / -2
(remember to write it as a fraction!)
4(2x + 3) = 2(3x - 4)
8x + 24 = 6x - 8
2x + 24 = -8
2x = -32
x = -16
Answer: ONE solution <em>x = -16</em>
