Write an equation of the line that passes through the given points
(-4, -2) and (-3, 5)
y=blankx+blank
7,26,-7,10,8,1,-1,0,16,-13
To find the equation of the line that passes through the given points (-4, -2) and (-3, 5), we can use the slope-intercept form of the equation of a line.
First, we need to find the slope (m) of the line. The slope is defined as the change in y divided by the change in x between two points.
m = (y2 - y1) / (x2 - x1)
m = (5 - (-2)) / (-3 - (-4))
m = (5 + 2) / (-3 + 4)
m = 7 / 1
m = 7
Next, we can use the point-slope form of an equation of a line and substitute one of the given points, along with the calculated slope, to solve for the y-intercept (b).
y - y1 = m(x - x1)
y - (-2) = 7(x - (-4))
y + 2 = 7(x + 4)
y + 2 = 7x + 28
y = 7x + 28 - 2
y = 7x + 26
Therefore, the equation of the line that passes through the given points is y = 7x + 26.