Y = 7x + 3
Find the x and y intercepts of the line

The x-intercept of the line is

The y-intercept of the line is 3

Step-by-step explanation:

If the equation of a line is y = m x + b, then

Let us use these facts to solve the question

∵ y = 7x + 3

→ Substitute y by 0 to find the x-intercept

∵ y = 0

∴ 0 = 7x + 3

→ Subtract 3 from both sides

∵ 0 - 3 = 7x + 3 - 3

∴ -3 = 7x

→ Divide both sides by 7 to find x

∵ =

∴ = x

∴ The x-intercept of the line is  

∵ y = 7x + 3

→ Substitute x by 0 to find the y-intercept

∵ x = 0

∴ y = 7(0) + 3

∴ y = 0 + 3

∴ y = 3

∴ The y-intercept of the line is 3

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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step-by-step explanation:

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