write the slope-intercept form equation of the line with slope -3 that passes through the point (0,0). Enter any non-integer coefficient as a fraction
(y-0) = -3(x-0)
or
y = -3x
To find the slope-intercept form equation of a line, we need two pieces of information: the slope of the line and a point that the line passes through.
Given that the slope of the line is -3 and the line passes through the point (0, 0), we can find the equation using the following form:
y = mx + b
where:
- m represents the slope of the line
- (x, y) represents the coordinates of a point on the line
- b represents the y-intercept (where the line intersects the y-axis)
Since we are given that the line passes through the point (0, 0), we can substitute these values into the equation:
y = -3x + b
To find the value of b, we substitute the x and y coordinates of the point (0, 0) into the equation:
0 = -3(0) + b
Simplifying further, we get:
0 = 0 + b
b = 0
Therefore, the equation of the line in slope-intercept form is:
y = -3x + 0
But we can simplify the equation by removing the "+ 0" term:
y = -3x
Hence, the slope-intercept form equation of the line with slope -3 that passes through the point (0, 0) is y = -3x.