Question

An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 3 to 3 in one unit increments. The y-axis ranges from negative 3 to 6 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis negative 1 comma 4 right parenthesis and left parenthesis 1 comma 0 right parenthesis. write the equation of the linear function shown on the graph

Answer 1

To find the equation of the linear function, we need to first find the slope of the line using the two points provided: (-1, 4) and (1, 0).

Slope (m) = (y2 - y1) / (x2 - x1)
= (0 - 4) / (1 - (-1))
= -4 / 2
= -2

Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)

Substitute one of the points for (x1, y1):
y - 4 = -2(x + 1)

Simplify to slope-intercept form:
y - 4 = -2x - 2
y = -2x + 2

Therefore, the equation of the linear function shown on the graph is y = -2x + 2.