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sleet_krkn [62]
2 years ago
13

Graph the line 6x-5y=30 . State the x- and y-intercepts.

Mathematics
1 answer:
Fudgin [204]2 years ago
6 0

Answer:

x-intercept=(5,0) y-intercept =(0,-6)

Step-by-step explanation:

to find the x-intercept you substitute 0 in for y so the you're left with 6x=30 and you divide it by 6 on both sides leaving you with x=5

To find the y- intercept you set x=0 which leaves you with -5y=30 and you divide both sides by -5 and you're left with y=-6

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☁️ Answer ☁️

5. IS E (none of these)

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What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

#SPJ10

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