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Temka [501]
2 years ago
12

Find the coordinates of the point where the line

x+7\\" alt="y=5x+7\\" align="absmiddle" class="latex-formula"> crosses the y axis
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
7 0

Answer:

(0, 7)

Step-by-step explanation:

The point that crosses the y-axis is called the y-intercept of the line.

We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.

What are constants?

Constants are such terms that include only numbers. There should be no variables in constants.

<u>We know that:</u>

     \bullet \ \text{Given equation of line: y = 5x + 7}

The constant we can see in the equation is "7". Therefore, the y-intercept is 7.

Note: The y-intercept of the line must have an x-coordinate of 0.

<u>Therefore,</u>

⇒ Coordinates of y-intercept: (x, y) ==> (0, 7).

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3 years ago
write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
EastWind [94]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -1/4x - 4}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

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<u>Simplify and solve for y</u>

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  • \textsf{y = -1/4x - 4}

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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