Question

An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 6 to 6 in one unit increments. The y-axis ranges from negative 4 to 6 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis negative 3 comma negative 1 right parenthesis and left parenthesis 2 comma 4 right parenthesis. Write the equation of the linear function shown on the graph. enter your anse in y=mx +b form

Answer 1

To find the equation of the line, we first need to find the slope (m) using the coordinates of the two points (-3, -1) and (2, 4).

m = (y2 - y1) / (x2 - x1)
m = (4 - (-1)) / (2 - (-3))
m = (4 + 1) / (2 + 3)
m = 5 / 5
m = 1

Next, we choose one of the two points, let's say (-3, -1), and plug the coordinates and the slope into the point-slope formula y - y1 = m(x - x1):

y - (-1) = 1(x - (-3))
y + 1 = x + 3
y = x + 2

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