The first equation is in point-slope form, y – y1 = m(x – x1), where m = slope.
y + 3 = -3/4(x + 4)
If we transform this equation into its slope-intercept form, y = mx + b, then it will be:
y + 3 = -3/4(x + 4)
y + 3 – 3 = -3/4x – 3 — 3
y = -3/4 x — 6.
The slope of Line A is -3/4 and the y-intercept is -6.
For Line B, we can find the slope using the formula,
m = (y2 – y1)/(x2 – x1)
Choosing 2 set of ordered pairs from the table:
(-6, 10) and (0, 5)
We can plug in those values into the slope formula:
m = (y2 – y1)/(x2 – x1)
m = (5 – 10)/(0 – (-6)) = -5/6
Therefore, the slope of Line B is -5/6.
In comparing both slopes, the slope of Line A is greater than the slope of Line B. If you convert both fractions into decimals:
-3/4 = -0.75
-5/6 = -0.83
-3/4 > -5/6
