The equation of this line in slope intercept form is y = 1.5x + 13.
The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.
Equation of line: y = mx + c
where m is slope of line and c is the y intercept.
[tex]\frac{y+2}{x+10} = \frac{3}{2}\\ \\ 2(y+2) = 3(x+10)\\\\2y + 4 = 3x + 30\\\\2y = 3x + 26\\\\y = 1.5x + 13\\\\where\ slope = 1.5\ and\ y\ intercept\ is\ (0,13)[/tex].
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