Find equation of line in slope-intercept from having a slope 2/3 and passing through the point (-6, 4)

For this case we have the following data:

Slope,

By definition, the equation of the slope-intercept form is given by:

We must find the cut point b, for this we substitute the given point and the slope in the equation:

Thus, the equation is given by:

Now, we look for the points of intersection with the x and y axes respectively:

Point of intersection with the y axis:

We do and substitute in the equation found:

Thus, the point of intersection with the y-axis is (0,8).

Point of intersection with the x axis:

We make and substitute in the equation found:

Clear x:

Thus, the point of intersection with the x-axis is (-12.0).

See attached image

y -5 = (-1/4)(x + 8)

step-by-step explanation: