Question

What are the coordinates of the y-intercept? (-8, 3) and (-3, -4.5)

Answer 1

Based on the calculations, the coordinates of the y-intercept are (0, -9).

What is the y-intercept?

In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

$Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

Substituting the given parameters into the formula, we have;

Slope, m = (-4.5 - 3)/(-3 + 8)

Slope, m = -7.5/5

Slope, m = -1.5.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (-8, 3), we have:

y - 3 = -1.5(x + 8)

y - 3 = -1.5x - 12

y = -1.5x - 12 + 3

y = -1.5x - 9

Therefore, the coordinates of the y-intercept are (0, -9).

Read more on slope and y-intercept here: brainly.com/question/24787293

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