Write the equation, in slope-intercept form, of the line that passes through (-2,0) and is parallel to the line represented by 5x-3y=-17 .

Step-by-step explanation:

Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule

so we rewrite the equation in slope-intercept form:

and now we compare it with our slope-intercept form equation:

the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.

now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.

now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:

so this is our given line.

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step-by-step explanation: