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
