Write the equation, in slope-intercept form, of the line passing through the origin and the point (-4,3) .
Using the information that the line passes through the points (0, 0) and (-4, 3) , we can find the slope.
slope = \(\frac{\text{rise}}{\text{run}}\ =\ \frac{y_2-y_1}{x_2-x_1}\ =\ \frac{3-0}{-4-0}\ =\ -\frac34\)
Using the point (0, 0) and the slope -\(\frac34\) , the equation of the line in point-slope form is
y - 0 = -\(\frac34\)(x - 0)
Simplify both sides of the equation to get
y = -\(\frac34\)x
Using the information that the line passes through the points (0, 0) and (-4, 3) , we can find the slope.
slope = \(\frac{\text{rise}}{\text{run}}\ =\ \frac{y_2-y_1}{x_2-x_1}\ =\ \frac{3-0}{-4-0}\ =\ -\frac34\)
Using the point (0, 0) and the slope -\(\frac34\) , the equation of the line in point-slope form is
y - 0 = -\(\frac34\)(x - 0)
Simplify both sides of the equation to get
y = -\(\frac34\)x