Answer:
y = -4x + 43
Step-by-step explanation:
The line on the graph passes through points (0,5) and (1,1)
The slope of this line = change in y ÷ change in x = [tex]\frac{1 - 5}{1 - 0}[/tex] = -4
Since our second line (i.e the line passing through point (7,15) is parallel to our first line (the one with the slope of -4), the slope of our second line is also equal to -4 .
Fact: Parallel lines have the same value of slope.
Taking another point (x,y) on the second line,
Slope = [tex]\frac{y-15}{x-7}[/tex] = -4
Cross-multiplying this gives; y - 15 = -4x + 28
Finally, y = -4x + 43
