The equation of the line is, y = 4x + 15
The given coordinates of the line;
- points on the line (-2, 7)
- slope of the line, m = 4
The equation of the line is calculated as follows;
[tex]\frac{y-y_1}{x-x_1} = m[/tex]
where;
x₁ corresponds to -2
y₁ corresponds to 7
The equation of the line is obtained by substituting these values into the above equation;
[tex]\frac{y-7}{x+2 } = 4\\\\y-7 = 4(x+2)\\\\y-7 = 4x + 8 +7 \\\\y = 4x + 15[/tex]
Thus, the equation of the line is, y = 4x + 15
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