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Question 2
1 pts
Write an equation in point-slope form that has a y-intercept at (0, -3) and also
contains the point (4, 5).
Write your answer as an equation with numbers, letters, and symbols - no spaces.

Verified Answer :

GinnyAnswer

To write an equation in point-slope form, we first need to find the slope of the line that passes through the two given points. The standard point-slope form of an equation is:

y - y1 = m(x - x1)

where (x1, y1) is a specific point on the line, and m is the slope.

The slope (m) is calculated using the coordinates of the two given points, (0, -3) which is the y-intercept, and (4, 5). The formula to calculate the slope is:

m = (y2 - y1) / (x2 - x1)

Substituting the given points into the formula:

m = (5 - (-3)) / (4 - 0)
m = (5 + 3) / 4
m = 8 / 4
m = 2

Now that we have the slope, we can use the point-slope form. Using the y-intercept (0, -3) as the point, we have:

y - (-3) = 2(x - 0)

This simplifies to:

y + 3 = 2x

The equation in point-slope form, with no spaces as requested, is:

y+3=2x

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