Standard form equation: y=mx+cy=mx+c
color(blue)("To find the gradient")To find the gradient
m-> "gradient"-> ("change in y")/("change in x")->(y_("end point")-y_("start point"))/(x_("end point")-x_("start point"))m→gradient→change in ychange in x→yend point−ystart pointxend point−xstart point
color(blue)(m=(0-4)/(3-0) = -4/3)m=0−43−0=−43
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color(blue)("To find the value of the constant c")To find the value of the constant c
They told us what it is in the question!
It is where the plotted line crosses the y-axis and they said that the y intercept =b = 4
color(blue)(c=4)c=4
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color(blue)("Putting it all together")Putting it all together
y=mx+c ->color(blue)( y= -4/3x+4)y=mx+c→y=−43x+4