Question

Sketch the line with slope 4/3 that passes through the point (−2, 1).

Answer 1

To sketch the line with slope 4/3 that passes through the point (-2, 1), use the point-slope form of a linear equation.

Step-by-step explanation:

To sketch the line with slope 4/3 that passes through the point (-2, 1), we can use the point-slope form of a linear equation.

The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Substituting the values (-2, 1) and slope 4/3 into the equation, we get y - 1 = (4/3)(x - (-2)).

Simplifying the equation, we have y - 1 = (4/3)(x + 2).

This is the equation of the line with slope 4/3 that passes through the point (-2, 1). To sketch the line, we can plot this equation on a coordinate plane.