If the equation of a line is y=2x+1, what is the y-intercept? 17. What is the slope of the line passing through the points (0, 2) and (3, 8)? 18. The points (2, 3) and (4, 7) lie on a straight line. What is the slope of the line?

Modi ni nambari inayoonekana mara nyingi zaidi katika seti ya data.

• A) 10, 12, 14, 16: Kila nambari inaonekana mara moja. Hakuna modi maalum ya 12.
• B) 5, 7, 12, 12, 12, 13: Nambari 12 inaonekana mara 3. Nambari zingine zinaonekana mara 1. Hivyo, 12 ndiyo modi.
• C) 5, 5, 8, 8, 12, 13: Nambari 5 inaonekana mara 2, na 8 inaonekana mara 2. Hivyo, modi ni 5 na 8, si 12 pekee.
• D) 6, 7, 8, 10, 12, 15: Kila nambari inaonekana mara moja. Hakuna modi maalum ya 12.

Jibu sahihi ni B.

16. Ikiwa mlinganyo wa mstari ni $y=2x+1$, y-intercept ni ipi?

Mlinganyo wa mstari katika umbo la mteremko-kizuizi ni $y = mx + c$, ambapo $m$ ni mteremko na $c$ ni y-intercept.

Hapa, $c = 1$.

Y-intercept ni 1.
Jibu sahihi ni B.

17. Mteremko wa mstari unaopita kwenye pointi $(0, 2)$ na $(3, 8)$ ni upi?

Mteremko $m$ wa mstari unaopita kwenye pointi $(x_1, y_1)$ na $(x_2, y_2)$ hutolewa na:

Hapa $x_1 = 0$, $y_1 = 2$, $x_2 = 3$, $y_2 = 8$.

Jibu sahihi ni C.

18. Pointi $(2, 3)$ na $(4, 7)$ ziko kwenye mstari ulionyooka. Mteremko wa mstari ni upi?

Mteremko $m$ wa mstari unaopita kwenye pointi $(x_1, y_1)$ na $(x_2, y_2)$ hutolewa na:

Hapa $x_1 = 2$, $y_1 = 3$, $x_2 = 4$, $y_2 = 7$.

Jibu sahihi ni 2. (Hakuna chaguo lililotolewa kwa swali hili, lakini jibu ni 2).

Majibu ya mwisho: 15. B) $\boxed{\text{5, 7, 12, 12, 12, 13}}$ 16. B) $\boxed{\text{1}}$ 17. C) $\boxed{\text{2}}$ 18. $\boxed{\text{2}}$