Question 247399
The equation is in slope-intercept form.
{{{y=mx+b}}}
{{{y = -(5/7)x - (7/3)}}}
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When x = 0, y = -7/3, which defines the point (0, -7/3)
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When y = 0, we can solve the equation.
{{{0 = -(5/7)x - (7/3)}}}
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Add -(5/7)x to both sides
{{{(5/7)x = -(7/3)}}}
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Multiply both sides by 7
{{{5x = -49/3}}}
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Divide both sides by 5
{{{x = -49/15}}}
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You can simplify the fractions.
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The graph is:
{{{
graph(500,500,-10,10,-10,10,-5/7*x - 7/3)
}}}