The y-intercept is easily read: it is (0,5). The slope, m, is m = rise / run
7-1
= ----------- = 6/3 = 2
1-(-2)
Thus, the eqn of the line is y = 2x + 5. In point-slope format, y-5=2(x-0).
If you’re solving for x, it’s x= 17/2 - y
If you’re solving for y, it’s y= 17/2 - x
Answer:
-75.9
Step-by-step explanation:
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
